Second Approximation

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

I will take it as a given, that when the Sun is between São Paolo and Lake Van, like Birmingham, it will not have half the gravitational pull towards either São Paolo or Lake Van, but rather a ratio which is in accordance with a sine table, because a sine table reflects the length and height of lines inside a circle at a given angle with a diagonal of 1. I will also take it as a given that the mass of Earth is the same, this means that at same or proportional force, the acceleration will be same or proportional.

0.0592651954330057862 m/s²

Sine of angles.

0 hours	0°	0
at 1 h	15°	0.2588
at 2 h	30°	0.5
at 3 h	45°	0.7071
at 4 h	60°	0.8660
at 5 h	75°	0.9659
at 6 h	90°	1

0 hours	0	0 m/s2
at 1 h	0.2588	0.0153 m/s2
at 2 h	0.5	0.0296 m/s2
at 3 h	0.7071	0.0419 m/s2
at 4 h	0.8660	0.05132 m/s2
at 5 h	0.9659	0.0572 m/s2
at 6 h	1	0.0593 m/s2

If the first hour starts at 0 hours and ends at 1 h, I will take the medium acceleration within that hour as the average between 0 and 1 hour marks. And so on. This reduces the circle to a kind of twelvesided figure. Since it is inscribed, we will get a lower value.

1st h	0.0077 m/s2
2nd h	0.0225 m/s2
3rd h	0.03577 m/s2
4th h	0.0466 m/s2
5th h	0.0543 m/s2
6 h	0.05825 m/s2

Now from acceleration to speeds added and achieved in each hour.

1 s 0.008 m/s	5 s 0.038 m/s	1 min 0.46 m/s	5 min 2.301 m/s
2 s 0.015 m/s	10 s 0.077 m/s	2 min 0.92 m/s	10 min 4.601 m/s
3 s 0.023 m/s	15 s 0.115 m/s	3 min 1.38 m/s	15 min 6.902 m/s
4 s 0.031 m/s	20 s 0.153 m/s	4 min 1.841 m/s	20 min 9.203 m/s
5 s 0.038 m/s	25 s 0.192 m/s	5 min 2.301 m/s	25 min 11.503 m/s
	30 s 0.23 m/s		30 min 13.804 m/s
	35 s 0.268 m/s		35 min 16.105 m/s
	40 s 0.307 m/s		40 min 18.405 m/s
	45 s 0.345 m/s		45 min 20.706 m/s
	50 s 0.383 m/s		50 min 23.007 m/s
	55 s 0.422 m/s		55 min 25.307 m/s
	60 s 0.46 m/s		60 min 27.608 m/s

Cumulative at the end of the 1st h

27.608 m/s

1 s 0.0224 m/s		1 min 1.349 m/s
5 s 0.112 m/s		5 min 6.746 m/s
60 s 1.349 m/s		60 min 80.947 m/s

Cumulative at the end of the 2nd h

80.947 m/s + 27.608 m/s = 108.555 m/s

1 s 0.036 m/s		1 min 2.146 m/s
5 s 0.179 m/s		5 min 10.731 m/s
60 s 2.146 m/s		60 min 128.77 m/s

Cumulative at the end of the 3rd h

128.77 m/s + 108.555 m/s = 237.325 m/s

1 s 0.047 m/s		1 min 2.797 m/s
5 s 0.233 m/s		5 min 13.985 m/s
60 s 2.797 m/s		60 min 167.814 m/s

Cumulative at the end of the 4th h

167.814 m/s + 237.325 m/s = 405.139 m/s

1 s 0.054 m/s		1 min 3.257 m/s
5 s 0.271 m/s		5 min 16.285 m/s
60 s 3.257 m/s		60 min 195.422 m/s

Cumulative at the end of the 5th h

195.422 m/s + 405.139 m/s = 600.561 m/s

1 s 0.058 m/s		1 min 3.495 m/s
5 s 0.291 m/s		5 min 17.476 m/s
60 s 3.495 m/s		60 min 209.717 m/s

Cumulative at the end of the 6th h

209.717 m/s + 600.561 m/s = 810.278 m/s

Cumulative at the end of the 7th h

209.717 m/s + 810.278 m/s = 1019.995 m/s

Cumulative at the end of the 8th h

195.422 m/s + 1019.995 m/s = 1215.418 m/s

Cumulative at the end of the 9th h

167.814 m/s + 1215.418 m/s = 1383.232 m/s

Cumulative at the end of the 10th h

128.77 m/s + 1383.232 m/s = 1512.002 m/s

Cumulative at the end of the 11th h

80.947 m/s + 1512.002 m/s = 1592.949 m/s

Cumulative at the end of the 12th h

27.608 m/s + 1592.949 m/s = 1620.557 m/s

Cumulative at the end of the 13th h

1620.557 m/s - 27.608 m/s = 1592.949 m/s

Cumulative at the end of the 14th h

1592.949 m/s - 80.947 m/s = 1512.002 m/s etc.

It doesn't go past the 6th h. If one set of 12 hours goes from zero to max speed and opposed set goes from max speed to zero, it's more like the speed goes from zero to actual max in six hours, then back to zero, then zero to actual max other direction, and then back to zero. So what would be reached in each direction?

Mean speed 1st h	13.804 m/s	49.695 km
Mean speed 2nd h	68.081 m/s	245.093 km	294.788 km
Mean speed 3rd h	172.94 m/s	622.584 km	917.372 km
Mean speed 4th h	321.232 m/s	1156.436 km	2073.808 km
Mean speed 5th h	502.85 m/s	1810.261 km	3884.069 km
Mean speed 6th h	705.42 m/s	2539.512 km	6423.581 km
Mean speed 7th h	705.42 m/s	2539.512 km	8963.093 km
Mean speed 8th h	502.85 m/s	1810.261 km	10,773.354 km
Mean speed 9th h	321.232 m/s	1156.436 km	11,929.790 km
Mean speed 10th h	172.94 m/s	622.584 km	12,552.374 km
Mean speed 11th h	68.081 m/s	245.093 km	12,797.467 km
Mean speed 12th h	13.804 m/s	49.695 km	12,847.162 km

So, this time, the calculation really is just above 12,756.274 km or the equatorial diameter of the Earth.

Now, why is this just an approximation, even this time? Because I have NOT taken into account the Mass of the Moon.

But, how about closing?

Again, keeping Earth exactly in place is no problem for God Almighty. Before the Sun was created on day IV, nothing like this affected Earth. The second after the Sun was created, Earth could have been pulled 5.9 cm towards the Sun. Easy enough for God to stop—and continue stopping up to the present day.

Anyway, the point was to show that if the Sun is brought by some means to circle Earth each day, whether it's God turning the universe East to West each day or the angel appointed to the Sun taking 24 hours to take a turn East to West (on the former view, which I share, it takes the angel c. 365 days to take the Sun from West to East around the Zodiac), the gravity of the Sun is not immediately going to pull Earth into an orbit. QED.

Hans Georg Lundahl
Paris
St. Felix of Valois
20.XI.2023

Sancti Felicis Valesii, Presbyteri et Confessoris, qui Ordinis sanctissimae Trinitatis redemptionis captivorum exstitit Fundator, ac pridie Nonas Novembris obdormivit in Domino.