A Note on the Use of Generalized Sundman Anomalies in the Numerical Integration of the Elliptical Orbital Motion

Table 1

Errors in position and velocity for HEOS I in and , respectively.

0.0	953553.59323	770880.33913	1.6	0.00086	0.00078
0.1	258032.45040	208605.19468	1.7	0.00037	0.00037
0.2	66193.91357	53516.13695	1.8	0.00016	0.00020
0.3	16522.81621	13359.02237	1.9	0.00005	0.00011
0.4	4074.21292	3294.34188	2.0	0.00009	0.00003
0.5	1002.70466	810.86164	2.1	0.00032	0.00030
0.6	248.26083	200.79429	2.2	0.00112	0.00127
0.7	62.24464	50.35530	2.3	0.00320	0.00399
0.8	15.89750	12.86526	2.4	0.00961	0.01251
0.9	4.15863	3.36714	2.5	0.03029	0.03987
1.0	1.12001	0.90756	2.6	0.10106	0.13113
1.1	0.31248	0.25354	2.7	0.36030	0.45054
1.2	0.08991	0.07312	2.8	1.37345	1.62725
1.3	0.02677	0.02188	2.9	5.59493	6.21512
1.4	0.00880	0.00725	3.0	24.23229	25.17338
1.5	0.00282	0.00238	3.1	110.62982	107.96944