Formulas & Simulation to be used to calculate for Earth, Sun, Moon, Shadow, etc

Please read carefully
Build the formulas and Simulation on website at a given point 1 with latitude, longitude, elevation, date, and time to calculate the following:

1) Equation of time with sunrise, sunset, noon, sun position etc values
2) Earth position around the sun + access tilt + seasons on north and south
3) Shadow angle and length calculation
4) Position of moon around earth and moon phase %
5) Calculation of horizon distance of the earth curvature
6) showing Polaris angle using earth sphere & position of Polaris
7) with a choosen point 2 latitude, longitude, elevation and
a) calculate the arc distance from point 1 to point 2 + chord distance and use that to calculate earth circumference
b) calculate how much of object in point 2 will be visible (curvature) and the angle due to curvature
c) calculate the shadow at point 2 + the angle + angle difference from point 1 and use that to calculate earth circumference
d) calculate Polaris angle difference from point 1 and use that to calculate earth circumference


the product should be something similar to similar to https://www.earthspacelab.com/app/solar-time but to cover all above

Regards
H