Computer analysis of equations using Mathematica (original) (raw)

An analytic investigation into the behavior of Kepler’s equation1

James Turner

2008

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Applications of Computer Algebra in the Study of the Two-Planet Problem of Three Bodies with Variable Masses

Alexander Prokopenya

Programming and Computer Software, 2019

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Notes on the Motion of Celestial Bodies

gianni donati

JAMP, 2020

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Methods of Astrodynamics, a Computer Approach

david vallado

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A model for non-circular orbits derived from a two-step linearisation of the Kepler laws

Premier Publishers

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Gravitationally Quantized Orbits in the Solar System: Computations Based on the Global Polytropic Model

Scientific Research Publishing

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The Schwarzschild problem: a model for the motion in the solar system

Magda Stavinschi

1997

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Nonlinear Celestial Mechanics Orbits Revisited: An Effective Relativistic Lagrangean Approach

Filipe Leoncio Braga

Physics & Astronomy International Journal, 2017

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Numerical relativity as a tool for computational astrophysics

Edward Seidel

Journal of Computational and Applied Mathematics, 1999

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Celestial mechanics with geometric algebra

David Hestenes

Celestial Mechanics, 1983

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Kepler's equation and some of its pearls

Carlos Zarro

American Journal of Physics, 2018

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Motion of the planets: the calculation and visualization in Mathcad

Katarina Pisacic

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The Use of CAS Piranha for the Construction of Motion Equations of the Planetary System Problem

Eduard Kuznetsov

Applications of Computer Algebra, 2017

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Relativistic equations of motion of celestial bodies

Michael Soffel

Symposium - International Astronomical Union, 1996

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Mathematics of a new theory for celestial orbits

Necat Tasdelen

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The theory of Enceladus and Dione: An application of computerized algebra in dynamical astronomy

Thảo Võ

1974

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The Motion of Celestial Bodies

Kaare Aksnes

2011

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Modelling with Difference Equations Supported by GeoGebra: Exploring the Kepler Problem

Zoltan Kovacs

International Journal For Technology in Mathematics Education, 2010

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Celestial Mech Dyn Astr A special perturbation method in orbital dynamics of orbits

Marcelo Mota

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FUNDAMENTALS OF ASTRODYNAMICS

Cosimo Mai

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Theoretical Astronomy

Daniel Pérez

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Elementary celestial mechanics using Matlab

Enrico Onofri

Computing in Science & Engineering, 2001

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Computer Model for Schwarzschild Orbits

Tensor Elmikawy

2022

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Planetary and light motions from Newtonian theory: an amusing exercise

Mawuadem Koku Amedeker Cphys Minstp, Nail Migranov

European Journal of Physics, 2006

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Orbit determination with the two-body integrals. II

Giovanni Gronchi

Celestial Mechanics and Dynamical Astronomy, 2011

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Clearing the First Hurdle in Mathematical Physics: Unsolvable Differential Equations

William Flannery

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One common solution to the singularity and perihelion problems

Branko Sarić

2007

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A special perturbation method in orbital dynamics

Jesus Pelaez

Celestial Mechanics and Dynamical Astronomy, 2007

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How to Use Mathematica to Solve Typical Problem in Celestial Mechanics

Diomar Lobão

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Regge calculus and observations. I. Formalism and applications to radial motion and circular orbits

Ruth Williams

General Relativity and Gravitation, 1981

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Analytical theory for spacecraft motion about Mercury

Carlos Corral

Acta Astronautica, 2010

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On the significance of perihelion shift calculations

Michael Duff

General Relativity and Gravitation, 1974

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Symbolic and Numerical Analysis in General Relativity with Open Source Computer Algebra Systems

Ceren Güzelgün, Tolga Birkandan

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A study of the n-body problem in celestial mechanics for college students

John Atsu-Swanzy

1997

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First-Order Analytical Solution for Spacecraft Motion About (433) Eros

Daniel J Scheeres

Journal of Guidance, Control, and Dynamics, 2004

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