First Approximation of Improving the Calculation

Creation vs. Evolution: Misinformation on St. Robert Bellarmine, I'd Say · New blog on the kid: How would my solution to why Earth stays in place work out, physically? · First Approximation of Improving the Calculation · Second Approximation

Let's call one of the movement axes of earth, if central and roughly speaking immobile but affected by the gravity of the Sun (a proposition I am exploring, not subscribing to), São Paolo—Honshu. São Paolo is 46°38′W and on the same great circle, you have Okayama Prefecture, 133°51′E, on Honshu.

Let's call the other axis Lake Van—Yukon (43 meridian East going through Lake Van, 137 meridian West going near Haines Junction, Yukon).

For each axis the following would be true :

• the Sun would start 12 hours pull in the one direction (like São Paolo or Yukon) by decelerating the opposite direction before getting an opposite acceleration to the previous;
• the Sun would maximise it's pull in that direction exactly at the middle of the 12 hours, when it was straight over the meridian (of São Paolo, or of Yukon), but would be pulling less into that direction before and after this middle, because closer to the other axis than in the middle (so, for São Paolo, when the Sun was closer to Lake Van or Yukon; or for Yukon, when the Sun was closer to São Paolo or Honshu);
• this would be very imperfectly described or rather approximated by a 12 hour period Sun straight over São Paolo, and a 12 hours period Sun straight over Honshu, and a similar approximation holding for the other axis.

3.539 417 036 787 433×10²³ N / 5.972 168×10²⁴ kg

3.539 417 036 787 433×10²³ kgm/s² / 5.972 168×10²⁴ kg

3.539 417 036 787 433 / 5.972 168 = 0.592 651 954 330 057 862

10²³ / 1024 = 10^-1

0.592 651 954 330 057 862 × 10^-1 = 5.926 519 543 300 578 62 × 10^-2 × m/s²

0 sec 0 m/s
1 sec 5.9 cm / sec	5 sec 29.6 cm / sec	1 min 3.556 m/s	5 min 17.78 m/s
2 sec 11.8 cm / sec	10 sec 59.3 cm / sec	2 min 7.112 m/s	10 min 35.559 m/s
3 sec 17.8 cm / sec	15 sec 88.9 cm / sec	3 min 10.668 m/s	15 min 53.339 m/s
4 sec 23.7 cm / sec	20 sec 1.185 m/s	4 min 14.224 m/s	20 min 71.118 m/s
5 sec 29.6 cm / sec	25 sec 1.482 m/s	5 min 17.78 m/s	25 min 88.898 m/s
	30 sec 1.778 m/s		30 min 106.677 m/s
	35 sec 2.074 m/s		35 min 124.457 m/s
	40 sec 2.371 m/s		40 min 142.236 m/s
	45 sec 2.667 m/s		45 min 160.016 m/s
	50 sec 2.963 m/s		50 min 177.796 m/s
	55 sec 3.26 m/s		55 min 195.575 m/s
	60 sec 3.556 m/s		60 min 213.355 m/s

1 h 213.355 m/s		7 h 1493.483 m/s
2 h 426.709 m/s		8 h 1706.838 m/s
3 h 640.064 m/s		9 h 1920.192 m/s
4 h 853.419 m/s		10 h 2133.547 m/s
5 h 1066.774 m/s		11 h 2346.902 m/s
6 h 1280.128 m/s		12 h 2560.256 m/s
1 h 2560.256 m/s-213.355 m/s = 2346.901 m/s
2 h 2346.901 m/s-213.355 m/s = 2133.547 m/s
3 h 2133.546 m/s-213.355 m/s = 1920.192 m/s
...

The maximal speed in either direction on an axis would be reached after 6 h and be 1280.128 m/s or 1.28 km/s. This can be compared to 29.7827 km/s which is supposed to be the orbital speed, on average.

29.7827 km/s / 1.280128 km/s = 23.265 times slower.

But the average speed into each direction from central resting point would be reached on 3 h. At 3 h the speed reaches 640.064 m/s. Take that as the speed for 12 hours in each direction.

640.064 m/s * 3600/3600 = 2 304 230.4 m/h = 2 304.23 km/h.

2 304.23 km/h * 12 = 27 650.76 km into each direction. Note, this is maximal. It is a little more than the diametre of Earth. But in fact, it needs to be far less than this.

• the Sun would start 12 hours pull in the one direction (like São Paolo or Yukon) by decelerating the opposite direction before getting an opposite acceleration to the previous;
• the Sun would maximise it's pull in that direction exactly at the middle of the 12 hours, when it was straight over the meridian (of São Paolo, or of Yukon), but would be pulling less into that direction before and after this middle, because closer to the other axis than in the middle (so, for São Paolo, when the Sun was closer to Lake Van or Yukon; or for Yukon, when the Sun was closer to São Paolo or Honshu);
• this would be much better approximated with an acceleration in each direction, in each axis, that starts and ends far lower than 5.926 519 543 300 578 62 × 10^-2 × m/s².

So, Earth would on this view be moving less from the centre in each direction than a diameter. It is still obviously possible that it doesn't move at all, but God overrides this gravitational pull of the Sun in every single moment.

Hans Georg Lundahl
Paris
Resumed VI Lord's Day
after Epiphany
19.XI.2023

PS, sorry, the diameter of Earth at the Equator is 12,756.274 km, less than half the value I calculated./HGL