# Questions tagged [astronomy]

Questions on the astronomical applications of Mathematica.

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### Checking the formula for solving the Poisson equation with an integral over all of space

EDIT: According to 2.2.3 Rigorous derivation, if we find the integral $u(x,y) = \int \int G(x,y,m,n)f(m,n) dm dn$ then we obtain a function that satisfies the Poisson equation $\nabla^2u(x,y)=f(x,y)$. ...
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### AscendingNodeLongitude for the Moon at a given date

I have a question concerning AstronomicalData. If I want the declination of the moon for a given date, I use: ...
132 views

### Solving a ODE (Peeble's Equation) with initial condition a the maximum input range

I have a differential equation which is, $$\frac{d X_e}{dz} = \frac{C_r(z)}{H(z)}\times \frac{1}{(1+z)}\Big[\frac{38\eta T^3}{25\pi^2}\alpha (T)X_e^2 - b(T)(1 - X_e) \Big]$$ Where  \alpha(T) = \...
58 views

### How do I use StarData with HR number as input?

In Mathematica 13.1, it is simple to look up star data using the star name as input, like this: StarData["Capella","EffectiveTemperature"] ...
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### Calculating upper culmination of the Moon

I’m completely confused by the new astronomical data system in Mathematica. For every day in some interval, I want to calculate {azimuth, altitude} of the Moon in ...
• 1,894
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### AstroPosition[] years of validity

I'm using online version 13.3(?) attempting to compute the position of Jupiter. It looks like "AstroPosition[]" only returns values for years between 1900 and 2050. Outside of these dates, ...
106 views

### Astroposition function in wolfra cloud

I am trying to copy paste and compute the input given in this link for the movement of mars. But wolfram cloud gives error. https://reference.wolfram.com/language/ref/AstroGraphics.html When compute ...
104 views

### Entering Right Ascension in AstroPosition [closed]

In the new Mathematica 13.2 the AstroGraphics let you plot the sky, e.g. centered at a specific coordinate. However, I cannot figure out how to enter efficiently the value for {right ascension, ...
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### Location of the point on Earth with the Sun at the zenith

This should be an easy question, but I don't know the correct syntax. I'm trying to create an animation based on NightHemisphere during a year. For each day, the instant correspond to the time of the ...
149 views

### Performance improvement of array setup and processing

I need to improve the speed of the following algorithm: Take a list $x={x_1,...x_n}$. For each integer $i=1,..n$ construct the following list assuming $z=x_i$ if $i=1$ and $z=x_{i-1}$ otherwise: \$X_i=...
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1 vote
107 views

### Path of moon orbiting the Earth [closed]

I'm trying to make an animation showing the path of the moon orbiting around the earth, but I'm having some trouble plotting it. For some reason, Mathematica doesn't give me any error messages but ...
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### Constructing Wolfram Alpha Query for Solar Position

When I use Mathematica calls to WolframAlpha, it clearly knows about the motion of the sun, so I can request the solar declination at any date/time: But I'm having great difficulty crafting a query ...
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### Charting sun location throughout the year from a specified geographic location

I'd like to chart the location of the sun (azimuth and elevation) from a given location (e.g., Chicago) throughout the year for a stated year (e.g., 2010). Here is the basic extraction of the current ...
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1 vote
57 views

### Units Question for PlanetData[..]

I asked a similar question yesterday, which was answered splendidly, but I missed adding a detail. Attached is a command, its output, and the issue I have now. This outputs g/cm^3, but I'd rather have ...
• 734
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### Converting Units [duplicate]

I'm using MMA 12.2. Trying to put together some astronomy pages, but the output of the command below is in miles. I would rather have it in SI units instead. On my system evaluating ...
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108 views

### Getting error Solve::units [closed]

I'm trying to solve the following formula for i, given values for all other variables. There are two equations, the first one is a formula to show the transit ...
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548 views

### Travelling around Jupiter

Since we have soon historical conjunction of Jupiter and Saturn I have prepared code with visualization planet Jupiter and Saturn with moons. This code first been prepared for version 11.3 and with ...
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114 views

### Quick question about "shifting x axis"

Imagine I have two lists: x={x1,x2,x3,x4,...} y={y1,y2,y3,y4,...} And I want a listplot ListPlot[Transpose[{x,y}]] Would do ...
• 645
207 views

### Fast N-Body Simulation with CUDA [closed]

There is a Mathematica code for 3 body simulation ...
• 8,988
509 views

### 2 body orbits around a barycenter

I'm attempting to plot a barycentric orbit of the sun and Jupiter. Initial Conditions ...
• 847
807 views

### gravitational two body problem for the orbit of the sun and jupiter around their barycenter

This is a simulation of the sun and jupiter orbiting the respective barycenter. Initial conditions ...
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### N body simulation

I'm trying to solve a 3 body problem consisting of the earth moon and sun. I'm wanting to show the earth orbiting the sun and the moon orbiting the earth as a result of the gravitational forces. ...
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153 views

### Detect sub figures and split (automatically?)

I would like to take a large figure showing a sequence of individual plots and automatically split the into series of images showing the individual sub-plots (to be exported as animated GIF later). ...
• 7,713
141 views

### NDSolve Maxsteps Reached Error

I'm trying to solve a system of Equations. The code is commented below, I am mainly conserved with the last few lines, specifically the NDSolve line. No matter what I do to the Maxsteps option, the ...
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359 views

### Solar Power Calculations

Good Afternoon, I have calculated the Incident beam radiation for a given locations local sunlight hours. ...
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84 views

### StarData, Altitude/Azimuth Anomaly with TimeZones

I am trying to compute lunar parallax using the position of the star Regulus on February 19th of this year. I get different answers depending on how I specify the date. Here are the particulars: <...
562 views

### Can NDSolve address spherical gravitational collapse?

As far as I know spherical gravitational collapse -of central importance to theoretical physics- is thought to be out of the scope of Wolfram Mathematica. However there are cases, as in this article,...
102 views

### Finding the next total SolarEclipse over a given latitude and longitude?

What is a reasonable way to code the title question in Mathematica? Trying the following gave Polygons over GeoPositions over Lists of pairs, but just digging into these seemed inelegant. Besides, ...
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### StarData: proper motion of a star in HelioCoordinates

I am not an astronomer, but am trying to calculate the trajectory of an interstellar space probe, for example to Proxima Centauri. The HelioCoordinates seem appropriate, as typically used within the ...
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241 views

### Plotting a parametric solution from NDSolve

Im trying to animate multiple points around multiple parametric plots which depicts orbital motion of body around a planet. Initial conditons are; ...
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1 vote
307 views

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### Plotting elliptical orbits using Verlet method

I'm looking to solve a 2 body system consisting of the Earth and a body of mass in orbit. I'm using the Verlet method to numerically integrate Newton's equation of motion in order to plot an ...
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### Select Specific StarData

The help menu for StarData has many examples such as StarData[EntityClass[ "Star", {EntityProperty["Star", "DistanceFromEarth"] -> TakeSmallest[10]}]] ...
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143 views

### a ListAnimate problem

Thanks to @AlexTrounev, I learned how to use ListAnimate, but I still get stuck using it. Before ListAnimate everything is correct. I just cannot successfully use ListAnimate to make the plot. I have ...
130 views

### Integrating the Planck Function over certain filter ranges [closed]

ClearAll["Global`*"] ...
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### Animate particle's trajectory

Does anyone know how to animate the trajectory of a particle, but make sure before the particle reaching a certain spot, there's nothing. I mean I want to make an animation that look like https://en....
3k views

### Interpreting Mathematica code on black holes

I am trying to understand the code written down on page 7 of this document (code is in Mathematica) I understand pretty much all of the code on the previous page needed to setup the page 7 code (...
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1 vote
457 views

### Solving the values of Christoffel symbols from a given metric tensor

Is there any easy mathematica package by which I can solve the Christoffel symbols from a given metric tensor?
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### Creating the celestial sphere for astronomical demonstrations

Quick question: has anybody produced (and/or willing to produce and share) a nice celestial sphere with some stars and/or constellations? I am traveling , so I cannot do it myself right now, but I ...
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1 vote
620 views

### Calculating Christoffel Symbols [duplicate]

I am totally new in the astrophysics field and I need to calculate Christoffel symbols for a model. The line element for the FLRW metric and the geodesic equation is given below: ...
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1 vote
258 views

### Using WhenEvent to calculate the period of an orbit

I'm having trouble trying to have Mathematica tell me when the period of the orbit of my system is. Namely, I'm trying to use Mathematica to find the orbital period of the Earth around the Sun. Here's ...
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217 views

### Plotting the orbit of the Earth around the Sun. Error: step size is effectively zero; singularity or stiff system suspected

I've been asked to plot the orbit of the Earth around the sun over a period of three years. I've copied my exact code below. When I try to run it I get a series of errors, the first being: NDSolve:...
2k views

### Speed up NDSolve compared to Python (calls to LSODA)

I migrated a numerical model code from Python to Mathematica and am surprised how much faster the Python version runs. Profiling of the Python version tells me that it is about 100 times faster (120 ...
• 7,713
161 views

### Does SolarEclipse only cover a limited date range?

If I use the example from the documentation for SolarEclipse and simply replace the years there with older ones, say from around Shakespeare's time, ...
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1k views

### Processing images from NASA's Juno Jupiter Orbiter

Question Can you help me improve what I’ve done to create an enhanced-color picture from an image provided by NASA’s JunoCam? [My work is shown in the penultimate image of Jupiter in this post.] I’...
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91 views

### InverseFunction's domain is not the range of the function that was inverted

I wrote a function to calculate how long of a period has past when a planet traverses an angle theta from perihelion in an orbit of a given eccentricity. ...
1 vote
127 views

### How do I pull a multiple pieces of data from a while loop and put into a table

I am wanting to pull multiple pieces of data from a while loop and put it in a list. The example I have added below is a table with inputted data that I found. Im pretty sure the syntax is unrelated ...
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155 views

### SatelliteData for a hypothetical satellite

SatelliteData appears to have some sort of orbit propagator behind it. It works for existing satellites, but is there any way to use it to predict the orbit of a ...
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