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1 vote
0 answers
63 views

Discovery of a Formula for Geostationary Orbit Distance: Seeking Expert Feedback [closed]

I’m an amateur enthusiast without a formal academic background in mathematics or science. Recently, I stumbled upon an idea and derived a formula that I believe calculates the distance traveled along ...
Luca Blonda's user avatar
1 vote
1 answer
96 views

How can I see Orion's Belt in winter and summer?

How can the 23 degree tilt of the Earth enable someone in Argentina to see the same constellation (Orion's Belt) in winter as someone in Britain in summer?
Danny Rosenberg's user avatar
0 votes
0 answers
55 views

Determine the equation of earth's orbit

I am trying to find the the equation earth's orbit using Kepler's Scheme. After every 1.88 years Mars returns to its initial position in the sky. With reference to the diagram and data below find the ...
sameed hussain's user avatar
-1 votes
1 answer
81 views

How fast do I have to fly vertically up to pause sunset?

I'm standing on the famous Laguna Beach in southern Los Angeles to watch the sunset on December 18th (33.541679°N 117.777214°W, 0m elevation, 16:44 PST). Now, from my perspective at the shore, the sun'...
Richard Zhu's user avatar
1 vote
1 answer
53 views

A noon cannon with two lenses

A noon cannon usually has a single convex lens which focuses sunlight onto a fuse. The cannon contains gunpowder. The fuse ignites and the gun discharges at noon. https://en.wikipedia.org/wiki/...
SamJ's user avatar
  • 13
1 vote
0 answers
50 views

Satellite angular velocity at an angle

Suppose I am observing a satellite that is not at my zenith. I know the altitude(α) and azimuth(γ) of my telescope and I was able to get a relative angular velocity of the satellite. Based on this ...
ryanx's user avatar
  • 11
0 votes
1 answer
114 views

An application of spherical trigonometry to the celestial sphere

In the book 'An Introduction to Modern Astrophysics' (Carroll and Ostlie, 2017), the first chapter presents an application of spherical trigonometry. At a certain point, the authors derive an equation ...
Sarah's user avatar
  • 3
1 vote
0 answers
21 views

How are poles and equators geometrically defined in a 3D matrix (curved space) that is a part of a 4D matrix (hyperspace)?

Our planet's surface is a curved 2D that has an infinite number of equators although we chose just one for vital geom. orientation purposes. Every of those equators has its 2 conjugate poles that can ...
jbradvi9's user avatar
  • 467
9 votes
2 answers
2k views

How do astronomers measure the parallax angle?

How do astronomers measure the angle p? "Instead of closing one eye and then the other, we observe a star six months apart, so that we are on opposite sides of the sun for each observation. ...
user avatar
1 vote
2 answers
621 views

Solid angle of celestial bodies

I found online that by using the definition of angular diameter, the formula for the solid angle of a celestial object can be defined in terms of the radius of the object, $R$, and the distance from ...
JuDigoan's user avatar
1 vote
1 answer
118 views

Derivation of the exoplanetary flux observed at Earth (solid angle problem)

I'm having issues understanding how Sara Seager, in her book "Exoplanet Atmospheres", determines the solid angle subjected to a detector on Earth. By the figure: The solid angle was defined ...
Fitzroy's user avatar
  • 15
16 votes
4 answers
4k views

Does dusk really remain for a shorter period of time at the equator?

It is said that the dusk remains for shorter time at equator than the poles. Because, the equator rotates faster than poles. But it is also true that time is the same in every latitude, and if it's ...
Debanjan Biswas's user avatar
1 vote
0 answers
48 views

Satellite’s Position and Path on 2D Map [closed]

When the ISS orbit the Earth, its path traced on a 2D Mercator Earth Map is similar to a sinusoidal wave. I am wondering is there any way to determine the trig function of the wave, knowing the ...
Dian Sheng's user avatar
1 vote
1 answer
65 views

How many pixels could an image of Proxima b taken by James Webb have?

I know it's very difficult for the James Webb to image Proxima b without a coronograph (I have been told by NASA scientists that they don't know yet whether they will be able to do so), but I wonder ...
James's user avatar
  • 69
0 votes
1 answer
34 views

Tips of Crescent

Can it be shown mathematically that the line connecting tips of crescent is parallel to the North-South line and the line gives latitude of the plane ( When the Moon is sufficiently close to the ...
Particle king's user avatar

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