Stack Exchange Network

Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange

Questions tagged [mathematics]

The tag has no usage guidance.

-1
votes
0answers
64 views

Are Torsors useful mathematics for modeling Spiral Galaxies? [closed]

The local interstellar cloud seems to spiral into sunspots as time approaches positive and negative infinity - behavior I've always imagined representative of spiral galaxies. I am curious if any ...
0
votes
1answer
23 views

Generate East and North unit vectors tangent to a point on the celestial sphere, using vectors?

I am stuck and a little embarrassed. I'm trying to implement this answer. I have a unit vector $w$ pointing in the direction of a radio source on the celestial sphere. $u$ and $v$ are the two other,...
0
votes
2answers
109 views

What natural mechanisms could lead to the unlikely case of the same rogue asteroid or planet passing through our solar system twice?

I find he following answer to the question What's the soonest Oumuamua could return? unsatisfying and oversimplifying and the last five words "Therefore it will never return." unsupported at a minimum....
1
vote
1answer
57 views

Is there any positive N on which it's agreed among astronomers that 10^-N is accepted as 0 (zero)? [closed]

Is there any positive N on which it's agreed among astronomers that 10^-N is accepted as, or treated as 0 (zero)? I think one of the sciences that most precision is required is astrophysics. I'm ...
2
votes
1answer
109 views

How to Calculate Planetary Equilibrium Temperature in Binary systems

I'm working on a program that generates the basics stats of a terrestrial planets in binary star systems. I'm not the best at this kind of math, so I'm having trouble calculating the planetary ...
0
votes
2answers
136 views

Calculating the sun’s position in ECI

I’m trying to calculate visible ISS passes and I need to calculate if the ISS is behind the earth by “drawing” a line between the ISS and the sun and seeing if it crosses earth. I have the ECI ...
9
votes
2answers
204 views

Calculating the apparent magnitude of a satellite

I'm writing a program that involves calculating the apparent magnitude of satellites from a ground location. I currently have the intrinsic magnitude of the satellites and the solar phase angle in ...
7
votes
2answers
85 views

What are the present, and potentially the future roles of data scientists in Astronomy? [closed]

I am a data scientist and curious about their roles in modern Astronomy, both now, and in the near future. What are type of roles and projects where data scientist are most active in Astronomy? What ...
-1
votes
2answers
91 views

Explanation of Longitude of Periapsis [duplicate]

I'm looking for a mathematical justification of the longitude of periapsis as it makes no mathematical sense to me as a notion. By definition, it is the sum of the argument of periapsis and the ...
1
vote
1answer
59 views

angles on the celestial sphere

This is a somewhat simplified, and drawn / formulated in a manner more targeted to astronomy, version of a diagram and a question that I've also posted in math.stackexchange.com. In the diagram below ...
1
vote
0answers
58 views

Rotating azimuth/altitude to a focal point?

This is really a math question, but it's for use in astronomy, so: Because reasons, I'm writing my own sky-viewing code. I've found a few references for converting right ascension and declination to ...
5
votes
1answer
67 views

How to calculate the time for the solar disk to pass the horizon and transit's lines

For a given date, longitude, and latitude: Popular apps and websites give the time when the sun's center or edge is on the horizon (i.e., the time of sunrise and sunset) or its transit (i.e., ...
3
votes
1answer
104 views

Stellar Classification Table and Star RNG

I found a table that was based on data from 2003 for Stellar Classification, and I can't get to the given data source. I plan on using the table as a basis for a program that spits out random star ...
1
vote
0answers
41 views

Generate an uniform distribution on the sky between limits

I have an analog question of this one : Generate an uniform distribution on the sky I generate an uniform distribution on the sky, but just a patch of it, with $$\alpha_{min} \leq \alpha \leq \alpha_{...
2
votes
1answer
314 views

Simple mathematical models of solar systems

I’m a hobbyist programmer with a profound love for procedural content generation. I’m working on a 2D space exploration game and while it’s not meant to simulate anything real, I’d like to give it a ...
2
votes
2answers
111 views

How far away is this galaxy?

Arp 299 is in the news, with most sources reporting it as 140 or 150 million light-years away. But what kind of distance is this? The paper which is trhe source for the news item has Supplementary ...
3
votes
1answer
99 views

Given sunrise, noon, sunset, longitude and latitude can I calculate the “hight” or “ascension” of the sun?

I'm trying to make a simple app for my own use to be able to check which of my favorit restaurants have outdoor seating sun and for how long etc. Given the data in the title (sunrise, noon, sunset, ...
3
votes
2answers
137 views

A rough analytical expression for the Milky Way's radial mass distribution?

I found the image below in Space.com's article This 3D Color Map of 1.7 Billion Stars in the Milky Way Is the Best Ever Made, although it is not the map mentioned in the title. The caption for this ...
11
votes
1answer
811 views

Why does the Earth's orbital eccentricity oscillate with a period of about 100,000 years?

This answer says: Earth's orbital eccentricity varies over time from being nearly circular (low eccentricity of 0.0034) and mildly elliptical (high eccentricity of 0.058). It takes roughly 100,000 ...
1
vote
0answers
43 views

Study astrophysics [closed]

I don't know where to ask this question and I have found this site. If this is not the right place to ask it, please tell me and I will delete it. I'm a computer engineer for 20 years but my true ...
2
votes
2answers
80 views

What happens if one day aliens want to talk to us. How can we talk to them? [closed]

Always I wonder about that if some day alien wants to talk to us, then how can we talk to them? They didn't know any of the language on the Earth. What will be the basic building blocks for it?
3
votes
1answer
80 views

How to mathematically describe a planet's eccentric orbit?

Is there a formula for describing a planet's position along an eccentric orbit over time? I am particularly interested in the elliptical case (0 < e < 1). I understand that the planet has a ...
2
votes
2answers
248 views

How to calculate the integrated source flux density of a continuous source?

I'm working with data from radio surveys. My images are .fits files with BUNIT Jy/beam. I want to calculate the net flux from a continuous source (not point source). When I simply added all the ...
2
votes
1answer
280 views

What is the 2D elliptical projection of the Celestial Sphere called, and how can I make one?

I see this kind of projection of the celestial sphere into 2D frequently, usually with an image of the milky way galaxy or cosmic microwave background. This particular image shows the path of visible ...
0
votes
1answer
123 views

calculate sunset in flight

I found an answer at https://physics.stackexchange.com/questions/26795/how-to-calculate-the-amount-of-night-time-during-a-flight but I was stuck at the part: $\cosθ_1=\sinφ_1\sinφ+\cosφ_1\cosφ\cos(...
2
votes
3answers
1k views

Generate an uniform distribution on the sky

How to generate an uniform distribution of stars on the sky ? What I want is make a simulation of random points following uniform distribution on a part of the sky (making the assuption that we have ...
1
vote
1answer
109 views

What do “star noise” and “sky noise” refer to for TESS (Transiting Exoplanet Survey Satellite)?

The eoPortal article for TESS (Transiting Exoplanet Survey Satellite) gives a fairly in-depth summary of the space telescope design and planned operation. Some further background information on its ...
0
votes
1answer
212 views

How Can I Interpolate Ephemerides?

I have two ephemerides for orbital elements—that is, each contains $a$ (semi-major axis), $e$ (ecc.), $i$ (incl.), $\Omega$ (long. asc. node), $\omega$ (arg. of peri.), $\tau$ (time of peri.), $T$ (...
2
votes
1answer
161 views

Does the given radius of a planet/moon include its atmosphere?

In NASA fact sheets, such as this one for Venus, a radius of the planet is given. Is that radius the radius of the surface of the planet, or of the envelope of atmosphere? Put another way, if ...
1
vote
2answers
3k views

How to calculate the position of the sun in long/lat?

I have a world map, and I want to know, given a timestamp, where is the sun located right now, in terms of long/lat. Here is a website that does that: https://www.timeanddate.com/worldclock/sunearth....
4
votes
0answers
82 views

On the geodesics of the metric $ds^2=-\rho^2d\alpha^2+d\rho^2$ and the constant $l=\rho^2\frac{d\alpha}{d\tau}$

In my assignment I have to deal with the 2D spacetime metric $$ds^2=-\rho^2d\alpha^2+d\rho^2.$$ During this assignment we have shown that the constant $$l=\rho^2\frac{d\alpha}{d\tau}$$ is a constant ...
4
votes
0answers
109 views

Average effect of a planet on a comet

I'm considering a problem involving star S, planet A, and a comet B. The orbits of the planet and comet are eccentric, with eccentricities $e_A$ and $e_B$. I'm trying to calculate the average change ...
1
vote
1answer
88 views

What is meant by the bifurcation of hydrostatic equilibrium shapes in planetary formation?

An intriguing comment below this question links to this Quora question and points to the answer by Robert Walker. The sentence that particularly intrigued me is: It turns out that there are two ...
3
votes
1answer
82 views

What is the accuracy of an artificial satellite at a certain magnitude?

When we say that 'accuracy of gaia satellite is 10 $\mu$as at $V = 10$ magnitude in position and annual proper motion'. What does this mean? Does it change over time?
2
votes
1answer
270 views

What is the probability that there is life on other planets?

From a mathematical point of view, what is the probability that 1) There is organic life on other planets 2) There are advanced species like us or even greater than us on other planets? Is there ...