The relative size of Earth, Jupiter, Sun (1 : 10 : 100) (original) (raw)
| The relative size ofEarth, Jupiter, Sun1 : 10 : 100 | | | ------------------------------------------------------- | |
Clarifying size, and practice with spheres...
| diameter | vs Earth | ||
|---|---|---|---|
 Earth |
107 × 1.27 m | 1 x | |
 Jupiter |
108 × 1.43 m | 10 x | (closer to 11) |
 Sun |
109 × 1.39 m | 100 x | (closer to 110) |
| length, | area, | volume |
|---|---|---|
| m1 | m2 | m3 |
If length (m) goes 1 : 101 : 102 (ie 1 : 10 : 100)
then area (m2) goes 1 : 102 : 104 (12 : 102 : 1002)
and volume (m3) goes 1 : 103 : 106 (13 : 103 : 1003).
| diameter | vs Earth | ||
|---|---|---|---|
| Earth |
107 × 1.27 m | 1 x | 100 |
| Jupiter |
108 × 1.43 m | 10 x | 101 (closer to 11) |
| Sun |
109 × 1.39 m | 100 x | 102 (closer to 110) |
| surface area | vs Earth | ||
|---|---|---|---|
| Earth |
1015 × 0.510 m2 | 1 x | 100 |
| Jupiter |
1017 × 0.641 m2 | 100 x | 102 (closer to 130) |
| Sun |
1019 × 0.609 m2 | 10,000 x | 104 (closer to 12,000) |
| volume | vs Earth | ||
|---|---|---|---|
| Earth |
1021 × 1.1 m3 | 1 x | 100 |
| Jupiter |
1025 × 1.52 m3 | 1,000 x | 103 (closer to 1,400) |
| Sun |
1027 × 1.41 m3 | 1,000,000 x | 106 (closer to 1,300,000) |
| diameter | area | volume | |
|---|---|---|---|
| Earth |
107 × 1.27 m | 1015 × 0.510 m2 | 1021 × 1.1 m3 |
| Jupiter |
108 × 1.43 m | 1017 × 0.641 m2 | 1024 × 1.52 m3 |
| Sun |
109 × 1.39 m | 1019 × 0.609 m2 | 1027 × 1.41 m3 |
| 1 : 101 : 102m | 1 : 102 : 104m2 | 1 : 103 : 106m3 |
mass
The densities (kg/m3) are somewhat similar, so mass follows volume.
| density | volume | mass | ||
|---|---|---|---|---|
| Earth |
103 × 5.5 kg/m3 (5.5 g/cm3) | 1021 × 1.1 m3 | 1025 × 0.60 kg | 100 |
| Jupiter |
103 × 1.3 kg/m3 (1.3 g/cm3) | 1024 × 1.52 m3 | 1027 × 1.9 kg | 103 |
| Sun |
103 × 1.4 kg/m3 (1.4 g/cm3) | 1027 × 1.41 m3 | 1030 × 2.0 kg | 106 |
Say the Earth is a 107 m cube.
Then its area is 107 × 107 × 6 (sides) m2.
And its volume is 107 × 107 × 107 m3.
| lengthm1 | aream2 | volumem3 | |
|---|---|---|---|
 Cube |
107m | 1014 × 6m2 | 1021m3 |
| Earth |
107 × 1.3m | 1014 × 5.1m2 | 1021 × 1.1m3 |
Surface area of the Earth?
The surface area of Earth is about 1015 m2.
Perhaps a number to remember
Earth radius - "Six ee Six meters" (6 × 106 m, aka 6E6, -6%, ±<1% )
| Earth diameter - | "Two times Six ee Six meters" (1.2 × 107 m, aka 12E6, -6%, ±<1% ) 107 (-×0.22, ±<1%) |
|---|
| 107 × 1.276 | 1.272 m | ±<1% | from equatorial | polar radius [Cow] |
|---|---|---|
| 107 × 1.3 m | +2%, ±<1% | |
| 107 × 1.2 m | -6%, ±<1% | 2 × 6E6, "twelve ee six meters" |
| 107 × 1.4 m | +10%, ±<1% | 7E7 |
| 107 m | -22%, ±<1% |
Remembering the size of Earth, and the 1 : 10 : 100 size relation, you then know the size of Jupiter and the Sun, too. And area and volume. And rough mass if you remember a rough density.
Earth's surface as a 20 x 25 Megameter rectangle
Some links
Doing Geometry with Jupiter
Doing Geometry with Saturn
The Sun and Earth Size Comparison
A Solar System Scale Model Meta Page
Doables: Too much is only implicit. Needs a few worked examples. Like earth landmark (6E6 m) to earth area to solar area, perhaps then power release, transmission to earth. Perhaps return a few of the landmarks? Mention invariance of diameter vs radius. Mention sun size vs earth-moon. Give sources for numbers. Earth-only blocks perhaps belong elsewhere. Now always saying 1:10:100. Should explicitly point out this means S = 10 x J. Add link to Scaling the universe to your desktop's Megameters in your hands.
History:
2003-Feb-03 Fixed 1 link.
2000-Oct-10 Spelling correction "equitorial" - thanks to a reader.
Added link to Megameters in your hands'. 1999.Dec.14 Added 20x25 Mm' link.
1998.May.21 Added `Doing Geometry with Jupiter/Saturn' links.
1997.Aug.10 First draft. Removed landmarks.
1997.Aug.06 First pass.