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Loci: Convergence
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Triangles in the Sky: Trigonometry and Early Theories of Planetary Motion
Summary: Parameters of the Basic Ancient Model
Table 3 exhibits the parameters for the basic ancient model that are computed by using the data and techniques described in the previous two sections.
|
|
Sidereal Period T (in years) |
Synodic Period S (in years) |
r/R |
|
Mercury |
1 |
0.3 |
0.37 |
|
Venus |
1 |
1.6 |
0.72 |
|
Mars |
1.9 |
2.1 |
0.66 |
|
Jupiter |
11.8 |
1.1 |
0.19 |
|
Saturn |
29.5 |
1.0 |
0.11 |
Table 3
With these parameters in hand, it is fun to revisit Figure 6 and feed in the appropriate parameters for each planet. Running the animation at the same speed for each planet allows us to compare the various journeys of the planets as they make their way around the ecliptic. From the swift movements of Mercury to the lumbering journey of Saturn, we see the same general pattern with important individual differences.
Next page >> Calculating Planetary Positions
Pages: | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
Caravella, Sandra M., "Triangles in the Sky: Trigonometry and Early Theories of Planetary Motion," Loci (October 2008), DOI: 10.4169/loci003120