Results Planet 3D

Results Planet 3D Simulation

The purpose of the demonstration is to test

The forward angle of the planet Mercury.
The influence of the step size

For the simulation 7 planets are used.
The table shows:

The result of a simulation of the Solar system for three different values of the step size: 50 seconds, 100 seconds and 1000 seconds.
The first three colums shows the eccentricity for the following three planets: Mercury, Venus and Earth.
Column four shows the number of Aphelions for Mercury.
Column five shows the forward angle of the Aphelion of Mercury in arcseconds per century.
Column six Shows the Date and time of the Aphelion of Mercury.

Delta Time 50

Mercury	Venus	Earth	Angle	Revolution	Date	Time
.205579701	.007221903	.016795720	-911,319181726154	3	20 Feb 1970	10.55
.205633732	.007049305	.016746348	532,6121879235	1000	15 Feb 2210	12.20
.205673069	.006939579	.016635066	531,382022029154	2000	31 Oct 2450	11.54
.205738856	.006820882	.016513901	530,860340742405	3000	17 Jul 2691	15.37
.205769177	.006708100	.016404190	530,580873675084	4000	1 Apr 2932	23.36
.205841978	.006634314	.016310807	530,372380922461	5000	17 Dec 3172	11.44
.205862803	.006552103	.016198664	530,21034781414	6000	3 Sep 3413	4.13
.205933962	.006441935	.016071524	530,069539312102	7000	20 May 3654	1.2
.205943814	.006381465	.016042784	530,017036767959	7392	27 Sep 3748	21.33

Mercury	Venus	Earth	Angle	Revolution	Date	Time
.205579698	.007221859	.016795654	-913,214365121318	3	20 Feb 1970	10.55
.205633958	.007049325	.016746351	532,620809214241	1000	15 Feb 2210	9.19
.205673227	.006939703	.016634971	531,394210046998	2000	31 Oct 2450	1.40
.205740103	.006821200	.016514072	530,877983030027	3000	16 Jul 2691	17.59
.205769036	.006708654	.016404874	530,601907616775	4000	31 Mar 2932	10.20
.205843164	.006634234	.016312016	530,398228407032	5000	15 Dec 3172	2.36
.205865584	.006551026	.016197932	530,241983576153	6000	30 Aug 3413	18.49
.205930599	.006440232	.016070454	530,10693351236	7000	15 May 3654	11.4
.205969015	.006336581	.015969561	529,986306281528	8000	29 Jan 3895	3.13
.206023067	.006233011	.015904479	529,872688468487	9000	14 Oct 4135	19.1
.206063539	.006109202	.015792966	529,768203605349	10000	29 Jun 4376	10.29
.206113519	.005965244	.015671414	529,665325510003	11000	15 Mar 4617	1.49
.206149564	.005931586	.015625004	529,59868876381	11672	7 Jun 4779	6.4

Results Planet 3D

Delta Time 100

Mercury Venus Earth Angle Revolution Date Time

.205600716 .007223735 .016795115 -911,901471342496 3 20 Feb 1970 11.0

.205655381 .007051217 .016745716 531,832971195061 1000 16 Feb 2210 16.53

.205692875 .006941543 .016634473 530,594590367716 2000 2 Nov 2450 21.8

.205762136 .006816884 .016513260 530,07460249823 3000 21 Jul 2691 5.36

.205788669 .006710479 .016403395 529,790807144464 4000 6 Apr 2932 18.21

.205863397 .006636216 .016310008 529,5813283884 5000 23 Dec 3172 11.25

.205886276 .006554548 .016197870 529,419249726038 6000 10 Sep 3413 8.46

.205950512 .006444175 .016070688 529,278760501974 7000 28 May 3654 10.34

.205986348 .006313445 .016005813 529,159903127988 7946 19 Feb 3882 17.31

Results Planet 3D

Delta Time 1000

Mercury Venus Earth Angle Revolution Date Time

.205978910 .007258106 .016784437 -1013,05563624786 3 20 Feb 1970 12.0

.206043976 .007092377 .016734862 427,131655856899 1000 10 Mar 2210 3.0

.206074787 .006976962 .016622823 425,856332342522 2000 15 Dec 2450 18.6

.206127001 .006854499 .016501090 425,352114707274 3000 23 Sep 2691 13.6

.206166585 .006749125 .016412090 425,084039051812 4000 1 Jul 2932 12.33

.206229802 .006650143 .016317531 424,891440652505 5000 9 Apr 3173 16.9

.206263393 .006566860 .016186450 424,747269277144 6000 16 Jan 3414 23.56

.206313347 .006465162 .016146146 424,654696784103 6726 16 Mar 3589 17.3

The first part is subdivided into two parts with slightly different initial conditions. What it shows is the divergence in the solution.

The simulation clearly shows the importance of step size.

Nature 11 June 2009 Existence of collisional trajectories of Mercury, Mars and Venus with the Earth
Created 3 July 2009