Equations (pdf) and Comparison

 

Comparison between calculations and observations
of spherical and synchronized bodies

November 15, 2004
Updated July 2012
Calculation
Observation
% Deference
T
To
D
Click on titles to open Rotation Equations
(pdf
)
O = Spherical Body

Radius
(km)
Average or dimension

Sidereal Rotation Period (day)
( S = synchronized tropical rotation )
Sidereal Rotation Period (day)
( S = synchronized tropical rotation )
% Difference between Observation and Calculation
O
695000
27.11
27.20
00.00
O
2439.7
58.2721
58.6500
-0.6464
O
6052
-244.73142
-243.02083
0.7014
O
6378
0.991069
0.997271
-0.6238
O
1738
S
S
same
O
3397
1.035613
1.025954
0.9370
13.4x9.2
S
S
same
7.5x5.2
S
S
same
O
71492
0.40957
0.41354
-0.9635
22
S
S
same
13x10x8
S
S
same
131x73x67
S
S
same
49
S
S
same
O
1822
S
S
same
O
1561
S
S
same
O
2631
S
S
same
O
2410
S
S
same
Himalia
80
0.31
0.40
-24.07
Elara
39
0.22
0.50
-76.49
O
60268
0.4548
0.4493
1.2285
Pan  
10
S
S
same
Atlas  
18.5x17.2x13.5
S
S
same
Prometheus  
74x50x34
S
S
same
Pandora  
74x50x34
S
S
same
69x55x55
S
S
same
96.5x86.5x68.5
S
S
same
O
207.4x197.2x190.7
S
S
same
O
256x247x245
S
S
same
O
536x528x526
S
S
same
Telesto
15x12.5x7.5
S
S
same
Calypso
10
S
?
O
559
S
S
same
Helene  
18x16x15
S
?
Rhea
O
764
S
S
same
O
2575
S
S
same
Hyperion
185x140x113
S
chaotic/S
O
718
S
S
same
Phoebe
115x110x105
0.39
0.40
-2.06
Siarnaq  
20
0.14
0.28
-68.05
O
25559
-0.72066
-0.71833
0.3238
Cordelia  
20
S
S
same
Ophelia  
21
S
S
same
Bianca  
26
S
S
same
Cressida  
40
S
S
same
Desdemona  
32
S
S
same
Juliet  
47
S
S
same
Portia  
68
S
S
same
Rosalind  
36
S
S
same
Belinda
64x32x32
S
S
same
Puck
O
81
S
S
same
O
240x234.2x232
S
S
same
O
581.1x577.9x577.7
S
S
same
O
585
S
S
same
O
789
S
S
same
O
761
S
S
same
Caliban  
34
-0.23
-0.11
72.15
Sycorax  
75
-0.34
-0.15
78.41
O
24764
0.67626
0.67125
0.7430
Naiad
48x30x26
S
S
same
Thalassa
54x50x26
S
S
same
Despina
90x74x64
S
S
same
Galatea
102x92x72
S
S
same
Larissa
108x102x84
S
S
same
Proteus
220x208x202
S
S
same
O
1353
S
S
same
Nereid
O
170
0.52
0.48
7.21
O
1195
-6.5682
-6.3872
2.7945
O
593
S
S
same