Anastas Ivanov Ivanov - Profile on Academia.edu (original) (raw)

Papers by Anastas Ivanov Ivanov

Research paper thumbnail of Condense Lagrange Equations

Zenodo (CERN European Organization for Nuclear Research), Sep 30, 2019

In this article, new equations called Condensed Lagrange equations (CLE) are defined. With their ... more In this article, new equations called Condensed Lagrange equations (CLE) are defined. With their help, the rigid body absolute general motion is studied. The rigid body is considered to be homogeneous and unsymmetrical. CLE are similar in structure to the classical Lagrange equations from second type, applied in vector-matrix form, but CLE are differing from them by four indicators. These differences are commented in detail in this article. The use of the CUL is fully equivalent to the application of the theorem, called Theorem for change of the rigid body generalized impulse. Using CLE the differential equations in a matrix form, describing the rigid body absolute general motion, are obtained. CLE enrich the theory of Rigid Body Mechanics. Moreover, CLE represent a second alternative variant of the Theorem for change of the rigid body generalized impulse, they serve for verification it, and finally, they make the study completely.

Research paper thumbnail of ОПРЕДЕЛЯНЕ ПАРАМЕТРИТЕ НА ВИБРОИЗОЛАЦИЯТА НА МАШИНЕН АГРЕГАТ „ЕЛЕКТРОДВИГАТЕЛ-КОМПРЕСОР“

ОПРЕДЕЛЯНЕ ПАРАМЕТРИТЕ НА ВИБРОИЗОЛАЦИЯТА НА МАШИНЕН АГРЕГАТ „ЕЛЕКТРОДВИГАТЕЛ-КОМПРЕСОР“

Механика Транспорт Комуникации - Научно списание,, 2017

Research paper thumbnail of Влияние на напречните греди върху напрегнатото и деформираното състояние на плочогредови конструкции

Влияние на напречните греди върху напрегнатото и деформираното състояние на плочогредови конструкции

Механика, Транспорт, Комуникации - Научно списание,, 2003

Research paper thumbnail of Three-Dimensional Motion of Tennis Ball

Three-Dimensional Motion of Tennis Ball

Technical journal of Daukeyev University, May 31, 2021

Modern tennis players use a variety of strokes. From the physical point of view, these shots can ... more Modern tennis players use a variety of strokes. From the physical point of view, these shots can be classified into eight main groups depending on the way the racket interacts with the tennis ball. These are strokes with top, bottom, side, top-side, and bottom-side rotation, as well as strokes without rotation. These eight interactions lead to eight main types of trajectories at the same initial position and the same initial linear velocity. The main purpose of the study is to determine these trajectories and to describe their advantages and disadvantages in modern competitive tennis. The calculations and graphical images are performed with the MatLab mathematical package

Research paper thumbnail of ТРЕПТЕНИЯ НА ЕЛИПТИЧЕН ДИСК ОТ ИНЕРЦИОННО СМУЩЕНИЕ

ТРЕПТЕНИЯ НА ЕЛИПТИЧЕН ДИСК ОТ ИНЕРЦИОННО СМУЩЕНИЕ

Механика Транспорт Комуникации - Научно списание,, 2020

Research paper thumbnail of Study the service strokes in professional tennis

Study the service strokes in professional tennis

Technical journal of Daukeyev University, Oct 13, 2022

This article examines one of the most important strokes in the tennis sport, namely, service stro... more This article examines one of the most important strokes in the tennis sport, namely, service strokes. The study covers three types of strokes: flat, slice and kick service strokes. A specially made program has been compiled in the area of MatLab, with the help of which the strongly nonlinear differential equations are integrated. These equations describe the trajectory of the tennis ball under appropriate initial conditions. All types of air resistance are included. Here, the main focus is the formation of the Magnus force. Thanks to it, the tennis ball changes its trajectory depending on the degree and type of rotation. The article is intended for a wide range of readers: scientists, tennis players, and tennis coaches.

Research paper thumbnail of Low-carbon development of Kuzbass: coal mining and land reclamation

E3S web of conferences, 2021

The purpose of the study is to examine the adaptation of coal mining enterprises to the requireme... more The purpose of the study is to examine the adaptation of coal mining enterprises to the requirements of the Climate Agenda and the prospects for a low-carbon future of the Kuzbass region. The subject of the research is the impact of coal mining on the conservation of the region's biocapacity and the future "green" development of Kuzbass on the basis of mine reclamation. The following tasks are tackled: 1. to show the role of mining enterprises in the movement of the region's economy towards a low-carbon future, 2. to determine the relationship between the coal production and the area of mined lands for the period 2013-2019, 3. to reveal the need to increase the mine reclamation rate and conserve the biodiversity of the region's ecosystem, 4. to forecast the growth of the area of mined land with an increase in coal production of more than 300 million tons, provided that the current socio-economic situation in the region remains unchanged. Research methods are elements of a systems approach, regression analysis, building a one-factor linear regression model using the IBM SPSS Statistics software.

Research paper thumbnail of Theoretical Matrix Study of Rigid Body General Motion

Greener Journal of Physics and Natural Sciences, Oct 20, 2017

In this paper, a general motion of free asymmetrical rigid body to an absolute coordinate system ... more In this paper, a general motion of free asymmetrical rigid body to an absolute coordinate system is studied. The rotation component of body motion is described by using of Cardan angles. A new kind of theorem is formulated. It is called Theorem of change of generalized body impulse. New kinds of differential Lagrange equations of second gender are formulated. These are called Condensed Lagrange equations. Using that theorem and those equations, the general motion of the rigid body is successfully studied. The paper is theoretical, but it gives a base for a number of applications, for example, applications in the field of body overflow in fluid area and in the field of body vibrations. Moreover, the obtained formulas are appropriate for computer numerical integrations by contemporary mathematical programs.

Research paper thumbnail of Theoretical Matrix Study of Rigid Body Pseudo Translational Motion

Greener Journal of Physics and Natural Sciences, Oct 20, 2017

In this paper, a pseudo translational motion of free asymmetrical rigid body to an absolute refer... more In this paper, a pseudo translational motion of free asymmetrical rigid body to an absolute reference system is studied. A private kind of Theorem of change of generalized body impulse is formulated. This theorem is called Theorem of change of pseudo generalized body impulse. A private kind of Condensed Lagrange equations is formulated. These equations are called Condensed Lagrange equations for study of pseudo translational motion of free asymmetrical rigid body. Using that theorem and those equations, the pseudo translational motion of the rigid body is successfully studied. The paper is theoretical, but it gives a base for a number of applications. For example, these are investigations of the motion, stability and management of satellite. The other main application is free or forced small body vibrations. Moreover, the obtained formulas are appropriate for computer numerical integrations by contemporary mathematical programs.

Research paper thumbnail of A Matrix Presentation for a Beam Propagator Including Particles Spin

A Matrix Presentation for a Beam Propagator Including Particles Spin

This approach based on the matrix formalism for Lie al-gebraic tools provides a constructive meth... more This approach based on the matrix formalism for Lie al-gebraic tools provides a constructive method for a beam propagator in magnetic and electrical fields. The beam propagator is evaluated in according to the well known Lie algebraic tools. But in contrast to traditional approaches matrix presentation for Lie propagators bases on two di-mensional matrices.

Research paper thumbnail of КИНЕМАТИКА НА ПСЕВДО ТРАНСЛАЦИОННО ДВИЖЕНИЕ НА ТВЪРДО ТЯЛО

КИНЕМАТИКА НА ПСЕВДО ТРАНСЛАЦИОННО ДВИЖЕНИЕ НА ТВЪРДО ТЯЛО

Механика Транспорт Комуникации - Научно списание,, 2017

Research paper thumbnail of Changes in the mechanical properties and structure of 12Kh1MF steel caused by thermomechanical fatigue

Strength of Materials, Nov 1, 1981

Research paper thumbnail of Thermomechanical fatigue curves for boiler steels

Thermomechanical fatigue curves for boiler steels

Strength of Materials, Oct 1, 1981

Conclusions1.Results of tests on three boiler steels for TMF under rigid loading are more correct... more Conclusions1.Results of tests on three boiler steels for TMF under rigid loading are more correctly approximated by two straight lines on semilogarithmic coordinates of endurance to failure-stress amplitude per cycle. The upper, steeply falling straight line intersects the lower gently sloping line at some central point.2.A break is observed on thermomechanical fatigue curves on the coordinates logarithm of endurance Nf-stress range. A relationship is observed between the path of the curves for logNf(Δσ) and logNf(Δɛ) which indicate the existence of a physical prerequisite for breaks and discontinuities in thermomechanical fatigue curves.

Research paper thumbnail of ИЗСЛЕДВАНЕ ПРИНУДЕНИТЕ ПРОСТРАНСТВЕНИ ТРЕПТЕНИЯ НА МАШИНЕН АГРЕГАТ “ЕЛЕКТРОДВИГАТЕЛ-КОМПРЕСОР“

ИЗСЛЕДВАНЕ ПРИНУДЕНИТЕ ПРОСТРАНСТВЕНИ ТРЕПТЕНИЯ НА МАШИНЕН АГРЕГАТ “ЕЛЕКТРОДВИГАТЕЛ-КОМПРЕСОР“

Research paper thumbnail of Study the service strokes in professional tennis

Study the service strokes in professional tennis

Technical Journal of Daukeyev University

This article examines one of the most important strokes in the tennis sport, namely, service stro... more This article examines one of the most important strokes in the tennis sport, namely, service strokes. The study covers three types of strokes: flat, slice and kick service strokes. A specially made program has been compiled in the area of MatLab, with the help of which the strongly nonlinear differential equations are integrated. These equations describe the trajectory of the tennis ball under appropriate initial conditions. All types of air resistance are included. Here, the main focus is the formation of the Magnus force. Thanks to it, the tennis ball changes its trajectory depending on the degree and type of rotation. The article is intended for a wide range of readers: scientists, tennis players, and tennis coaches.

Research paper thumbnail of IMA n.a. M.D. Shapovalenko and the scientific journal "Mariinskaya Academy" linked research : INDUSTRIAL ENGINEERING OR ENGINEER IN INDUSTRIES: A NOTE

IMA n.a. M.D. Shapovalenko and the scientific journal "Mariinskaya Academy" linked research : INDUSTRIAL ENGINEERING OR ENGINEER IN INDUSTRIES: A NOTE

Research paper thumbnail of Jean Thill Is member of the editorial council of the Publishing House of International Mariinskaya Academy n.a. M.D. Shapovalenko and member of the editorial board of the scientific journal "Mariinskaya Academy

Jean Thill Is member of the editorial council of the Publishing House of International Mariinskaya Academy n.a. M.D. Shapovalenko and member of the editorial board of the scientific journal "Mariinskaya Academy

Research paper thumbnail of Mercedes Orús-Lacort - Member of the editorial council of the Publishing House of International Mariinskaya Academy n.a. M.D. Shapovalenko and member of the editorial board of the scientific journal "Mariinskaya Academy

Mercedes Orús-Lacort - Member of the editorial council of the Publishing House of International Mariinskaya Academy n.a. M.D. Shapovalenko and member of the editorial board of the scientific journal "Mariinskaya Academy

Research paper thumbnail of RIGHTS and PRIVILEGIES of head of department of International Mariinskaya Academy n.a. M.D. Shapovalenko

RIGHTS and PRIVILEGIES of head of department of International Mariinskaya Academy n.a. M.D. Shapovalenko

Research paper thumbnail of Zhanneta L. Kozina Is member of the editorial council of the Publishing House of International Mariinskaya Academy n.a. M.D. Shapovalenko and member of the editorial board of the scientific journal "Mariinskaya Academy

Zhanneta L. Kozina Is member of the editorial council of the Publishing House of International Mariinskaya Academy n.a. M.D. Shapovalenko and member of the editorial board of the scientific journal "Mariinskaya Academy

Research paper thumbnail of Condense Lagrange Equations

Zenodo (CERN European Organization for Nuclear Research), Sep 30, 2019

In this article, new equations called Condensed Lagrange equations (CLE) are defined. With their ... more In this article, new equations called Condensed Lagrange equations (CLE) are defined. With their help, the rigid body absolute general motion is studied. The rigid body is considered to be homogeneous and unsymmetrical. CLE are similar in structure to the classical Lagrange equations from second type, applied in vector-matrix form, but CLE are differing from them by four indicators. These differences are commented in detail in this article. The use of the CUL is fully equivalent to the application of the theorem, called Theorem for change of the rigid body generalized impulse. Using CLE the differential equations in a matrix form, describing the rigid body absolute general motion, are obtained. CLE enrich the theory of Rigid Body Mechanics. Moreover, CLE represent a second alternative variant of the Theorem for change of the rigid body generalized impulse, they serve for verification it, and finally, they make the study completely.

Research paper thumbnail of ОПРЕДЕЛЯНЕ ПАРАМЕТРИТЕ НА ВИБРОИЗОЛАЦИЯТА НА МАШИНЕН АГРЕГАТ „ЕЛЕКТРОДВИГАТЕЛ-КОМПРЕСОР“

ОПРЕДЕЛЯНЕ ПАРАМЕТРИТЕ НА ВИБРОИЗОЛАЦИЯТА НА МАШИНЕН АГРЕГАТ „ЕЛЕКТРОДВИГАТЕЛ-КОМПРЕСОР“

Механика Транспорт Комуникации - Научно списание,, 2017

Research paper thumbnail of Влияние на напречните греди върху напрегнатото и деформираното състояние на плочогредови конструкции

Влияние на напречните греди върху напрегнатото и деформираното състояние на плочогредови конструкции

Механика, Транспорт, Комуникации - Научно списание,, 2003

Research paper thumbnail of Three-Dimensional Motion of Tennis Ball

Three-Dimensional Motion of Tennis Ball

Technical journal of Daukeyev University, May 31, 2021

Modern tennis players use a variety of strokes. From the physical point of view, these shots can ... more Modern tennis players use a variety of strokes. From the physical point of view, these shots can be classified into eight main groups depending on the way the racket interacts with the tennis ball. These are strokes with top, bottom, side, top-side, and bottom-side rotation, as well as strokes without rotation. These eight interactions lead to eight main types of trajectories at the same initial position and the same initial linear velocity. The main purpose of the study is to determine these trajectories and to describe their advantages and disadvantages in modern competitive tennis. The calculations and graphical images are performed with the MatLab mathematical package

Research paper thumbnail of ТРЕПТЕНИЯ НА ЕЛИПТИЧЕН ДИСК ОТ ИНЕРЦИОННО СМУЩЕНИЕ

ТРЕПТЕНИЯ НА ЕЛИПТИЧЕН ДИСК ОТ ИНЕРЦИОННО СМУЩЕНИЕ

Механика Транспорт Комуникации - Научно списание,, 2020

Research paper thumbnail of Study the service strokes in professional tennis

Study the service strokes in professional tennis

Technical journal of Daukeyev University, Oct 13, 2022

This article examines one of the most important strokes in the tennis sport, namely, service stro... more This article examines one of the most important strokes in the tennis sport, namely, service strokes. The study covers three types of strokes: flat, slice and kick service strokes. A specially made program has been compiled in the area of MatLab, with the help of which the strongly nonlinear differential equations are integrated. These equations describe the trajectory of the tennis ball under appropriate initial conditions. All types of air resistance are included. Here, the main focus is the formation of the Magnus force. Thanks to it, the tennis ball changes its trajectory depending on the degree and type of rotation. The article is intended for a wide range of readers: scientists, tennis players, and tennis coaches.

Research paper thumbnail of Low-carbon development of Kuzbass: coal mining and land reclamation

E3S web of conferences, 2021

The purpose of the study is to examine the adaptation of coal mining enterprises to the requireme... more The purpose of the study is to examine the adaptation of coal mining enterprises to the requirements of the Climate Agenda and the prospects for a low-carbon future of the Kuzbass region. The subject of the research is the impact of coal mining on the conservation of the region's biocapacity and the future "green" development of Kuzbass on the basis of mine reclamation. The following tasks are tackled: 1. to show the role of mining enterprises in the movement of the region's economy towards a low-carbon future, 2. to determine the relationship between the coal production and the area of mined lands for the period 2013-2019, 3. to reveal the need to increase the mine reclamation rate and conserve the biodiversity of the region's ecosystem, 4. to forecast the growth of the area of mined land with an increase in coal production of more than 300 million tons, provided that the current socio-economic situation in the region remains unchanged. Research methods are elements of a systems approach, regression analysis, building a one-factor linear regression model using the IBM SPSS Statistics software.

Research paper thumbnail of Theoretical Matrix Study of Rigid Body General Motion

Greener Journal of Physics and Natural Sciences, Oct 20, 2017

In this paper, a general motion of free asymmetrical rigid body to an absolute coordinate system ... more In this paper, a general motion of free asymmetrical rigid body to an absolute coordinate system is studied. The rotation component of body motion is described by using of Cardan angles. A new kind of theorem is formulated. It is called Theorem of change of generalized body impulse. New kinds of differential Lagrange equations of second gender are formulated. These are called Condensed Lagrange equations. Using that theorem and those equations, the general motion of the rigid body is successfully studied. The paper is theoretical, but it gives a base for a number of applications, for example, applications in the field of body overflow in fluid area and in the field of body vibrations. Moreover, the obtained formulas are appropriate for computer numerical integrations by contemporary mathematical programs.

Research paper thumbnail of Theoretical Matrix Study of Rigid Body Pseudo Translational Motion

Greener Journal of Physics and Natural Sciences, Oct 20, 2017

In this paper, a pseudo translational motion of free asymmetrical rigid body to an absolute refer... more In this paper, a pseudo translational motion of free asymmetrical rigid body to an absolute reference system is studied. A private kind of Theorem of change of generalized body impulse is formulated. This theorem is called Theorem of change of pseudo generalized body impulse. A private kind of Condensed Lagrange equations is formulated. These equations are called Condensed Lagrange equations for study of pseudo translational motion of free asymmetrical rigid body. Using that theorem and those equations, the pseudo translational motion of the rigid body is successfully studied. The paper is theoretical, but it gives a base for a number of applications. For example, these are investigations of the motion, stability and management of satellite. The other main application is free or forced small body vibrations. Moreover, the obtained formulas are appropriate for computer numerical integrations by contemporary mathematical programs.

Research paper thumbnail of A Matrix Presentation for a Beam Propagator Including Particles Spin

A Matrix Presentation for a Beam Propagator Including Particles Spin

This approach based on the matrix formalism for Lie al-gebraic tools provides a constructive meth... more This approach based on the matrix formalism for Lie al-gebraic tools provides a constructive method for a beam propagator in magnetic and electrical fields. The beam propagator is evaluated in according to the well known Lie algebraic tools. But in contrast to traditional approaches matrix presentation for Lie propagators bases on two di-mensional matrices.

Research paper thumbnail of КИНЕМАТИКА НА ПСЕВДО ТРАНСЛАЦИОННО ДВИЖЕНИЕ НА ТВЪРДО ТЯЛО

КИНЕМАТИКА НА ПСЕВДО ТРАНСЛАЦИОННО ДВИЖЕНИЕ НА ТВЪРДО ТЯЛО

Механика Транспорт Комуникации - Научно списание,, 2017

Research paper thumbnail of Changes in the mechanical properties and structure of 12Kh1MF steel caused by thermomechanical fatigue

Strength of Materials, Nov 1, 1981

Research paper thumbnail of Thermomechanical fatigue curves for boiler steels

Thermomechanical fatigue curves for boiler steels

Strength of Materials, Oct 1, 1981

Conclusions1.Results of tests on three boiler steels for TMF under rigid loading are more correct... more Conclusions1.Results of tests on three boiler steels for TMF under rigid loading are more correctly approximated by two straight lines on semilogarithmic coordinates of endurance to failure-stress amplitude per cycle. The upper, steeply falling straight line intersects the lower gently sloping line at some central point.2.A break is observed on thermomechanical fatigue curves on the coordinates logarithm of endurance Nf-stress range. A relationship is observed between the path of the curves for logNf(Δσ) and logNf(Δɛ) which indicate the existence of a physical prerequisite for breaks and discontinuities in thermomechanical fatigue curves.

Research paper thumbnail of ИЗСЛЕДВАНЕ ПРИНУДЕНИТЕ ПРОСТРАНСТВЕНИ ТРЕПТЕНИЯ НА МАШИНЕН АГРЕГАТ “ЕЛЕКТРОДВИГАТЕЛ-КОМПРЕСОР“

ИЗСЛЕДВАНЕ ПРИНУДЕНИТЕ ПРОСТРАНСТВЕНИ ТРЕПТЕНИЯ НА МАШИНЕН АГРЕГАТ “ЕЛЕКТРОДВИГАТЕЛ-КОМПРЕСОР“

Research paper thumbnail of Study the service strokes in professional tennis

Study the service strokes in professional tennis

Technical Journal of Daukeyev University

This article examines one of the most important strokes in the tennis sport, namely, service stro... more This article examines one of the most important strokes in the tennis sport, namely, service strokes. The study covers three types of strokes: flat, slice and kick service strokes. A specially made program has been compiled in the area of MatLab, with the help of which the strongly nonlinear differential equations are integrated. These equations describe the trajectory of the tennis ball under appropriate initial conditions. All types of air resistance are included. Here, the main focus is the formation of the Magnus force. Thanks to it, the tennis ball changes its trajectory depending on the degree and type of rotation. The article is intended for a wide range of readers: scientists, tennis players, and tennis coaches.

Research paper thumbnail of IMA n.a. M.D. Shapovalenko and the scientific journal "Mariinskaya Academy" linked research : INDUSTRIAL ENGINEERING OR ENGINEER IN INDUSTRIES: A NOTE

IMA n.a. M.D. Shapovalenko and the scientific journal "Mariinskaya Academy" linked research : INDUSTRIAL ENGINEERING OR ENGINEER IN INDUSTRIES: A NOTE

Research paper thumbnail of Jean Thill Is member of the editorial council of the Publishing House of International Mariinskaya Academy n.a. M.D. Shapovalenko and member of the editorial board of the scientific journal "Mariinskaya Academy

Jean Thill Is member of the editorial council of the Publishing House of International Mariinskaya Academy n.a. M.D. Shapovalenko and member of the editorial board of the scientific journal "Mariinskaya Academy

Research paper thumbnail of Mercedes Orús-Lacort - Member of the editorial council of the Publishing House of International Mariinskaya Academy n.a. M.D. Shapovalenko and member of the editorial board of the scientific journal "Mariinskaya Academy

Mercedes Orús-Lacort - Member of the editorial council of the Publishing House of International Mariinskaya Academy n.a. M.D. Shapovalenko and member of the editorial board of the scientific journal "Mariinskaya Academy

Research paper thumbnail of RIGHTS and PRIVILEGIES of head of department of International Mariinskaya Academy n.a. M.D. Shapovalenko

RIGHTS and PRIVILEGIES of head of department of International Mariinskaya Academy n.a. M.D. Shapovalenko

Research paper thumbnail of Zhanneta L. Kozina Is member of the editorial council of the Publishing House of International Mariinskaya Academy n.a. M.D. Shapovalenko and member of the editorial board of the scientific journal "Mariinskaya Academy

Zhanneta L. Kozina Is member of the editorial council of the Publishing House of International Mariinskaya Academy n.a. M.D. Shapovalenko and member of the editorial board of the scientific journal "Mariinskaya Academy

Research paper thumbnail of CONDENSED LAGRANGE EQUATIONS

In this presentation, new equations called Condensed Lagrange equations (CLE) are defined. With t... more In this presentation, new equations called Condensed Lagrange equations (CLE) are defined. With their help, the rigid body absolute general motion is studied. The rigid body is considered to be homogeneous and unsymmetrical. CLE are similar in structure to the classical Lagrange equations from second gender, applied in vector-matrix form, but CLE are differing from them by four indicators. These differences are commented in detail in this paper. The use of the CUL is fully equivalent to the application of the theorem, called Theorem for change of the rigid body generalized impulse. Using CLE the differential equations in a matrix form, describing the rigid body absolute general motion, are obtained. CLE enrich the theory of Rigid Body Mechanics. Moreover, CLE are presented a second alternative variant of Theorem for change of the rigid body generalized impulse, they are served for verification it and they make the study completely.

Research paper thumbnail of THEOREM FOR CHANGE OF THE RIGID BODY GENERALIZED IMPULSE

In this presentation, a rigid body absolute general motion is studied. The rigid body is assumed ... more In this presentation, a rigid body absolute general motion is studied. The rigid body is assumed as homogeneous and unsymmetrical. New additional kinetic characteristics are used. The most important of these are the following: the vector-real generalized velocity of the rigid body, the vector-generalized impulse of the rigid body and the vector-real generalized force of the rigid body. Using these new kinetic characteristics, a new theorem is defined. It is called Theorem for change of the rigid body generalized impulse. With its help, the differential equations in matrix form are obtained. These equations describe the rigid body absolute general motion. Two cases are studied - a pole that coincides and does not coincide with the rigid body mass center. The new theorem enriches the theory of Rigid Body Mechanics. The compact matrix equations provide an excellent opportunity for studying the most complicated dynamic models. They are suitable for numerical solutions with modern mathematical programs such as MatLab, MathCAD and others.