Questions tagged [astronomy]

Questions on the astronomical applications of Mathematica.

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3
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0answers
31 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: <...
6
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1answer
364 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,...
3
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1answer
53 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, ...
7
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1answer
118 views

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 ...
0
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2answers
106 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; ...
0
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1answer
146 views

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 ...
5
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1answer
58 views

Select Specific StarData

The help menu for StarData has many examples such as StarData[EntityClass[ "Star", {EntityProperty["Star", "DistanceFromEarth"] -> TakeSmallest[10]}]] ...
-1
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2answers
44 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 ...
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1answer
58 views
0
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1answer
116 views

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....
3
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1answer
362 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 (...
1
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0answers
120 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?
3
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1answer
97 views

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 ...
1
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0answers
52 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: ...
0
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2answers
103 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 ...
0
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1answer
89 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:...
14
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1answer
681 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 ...
6
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1answer
131 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, ...
13
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2answers
557 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’...
2
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1answer
77 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
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2answers
77 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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0answers
82 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 ...
4
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1answer
109 views

Typeset the standard “Moon” symbol

As it says on the tin, I want a way to typeset the astronomical symbol for the moon, which is a crescent. I also want this in such a way that I could integrate it into a button as a label, like the ...
1
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1answer
115 views

list of dates for vernal equinox

I'm trying to get a list of dates and times of the vernal equinox for the last 30 years (or some other time interval). I'm flailing about and really have gotten nowhere. When I've tried typing ...
1
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1answer
78 views

TrueAnomaly of planet orbit as a function?

It is possible to obtain the true anomaly of a planet this way: ...
1
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1answer
1k views

How to convert astronomical RA and Dec from sexagesimal to degree?

Astronomers use right ascension (RA) and declination (Dec) to refer to the sky coordinates of celestial objects. RA and Dec can take be represented degrees or in sexagesimal (base 60). How can I ...
2
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1answer
207 views

Calculating with scientific notation

I want to calculate the gravitational force between the Earth and its Moon using Newton's gravitational formula: (G M1 M2)/d^2 and its appropriate physical units. I'd include the code I wrote for ...
4
votes
1answer
335 views

Lagrangian form of Earth-Sun Kepler blows up NDSolve?

I've looked at this 1-D SE question. That question seems to have difficulties around diverging potential functions, and I don't have that. I've looked at this 2-D 3-body demonstration, but that starts ...
2
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0answers
252 views

Plotting orbits of trajectories of bodies sharing the earth's orbit in coordinates centered at the barycenter of the solar system [closed]

I am attempting to try and plot the trajectories of a trio of satellites that are orbiting with the earth-moon system around the solar system's barycenter. Originally, I had the satellites in orbit ...
4
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1answer
415 views

Orbit followed by a particle around Schwarzschild Black Hole

The following is a equation which describes various possible orbits of a particle around the Schwarzschild black hole spacetime in general relativity. I want to solve it from ...
6
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1answer
149 views

TimeZone Anomaly

I ran into the following situation when I was trying to determine the time of sunrise (using the built-in Sunrise function) for a variable location on a variable ...
11
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1answer
390 views

Calculate moonrise

Mathematica has Sunrise[], but no Moonrise[]. But it has MoonPosition[], so I thought it ...
11
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3answers
488 views

How to speed up plotting with PlotPoints?

I'm plotting an ellipse 1/(1 - e Cos[x]) with e=0.9 using PolarPlot. Taking $x\in[0,2\pi)$, ...
10
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1answer
347 views

Plotting how sunrise times change over the year

I created a somewhat lengthy Python code to show how the time of sunrise varies over a year, resulting in the following figure (daylight savings were disregarded): The dataset can be found here. The ...
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0answers
200 views

Orbit recognition error in planet motion [closed]

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4
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1answer
114 views

Is MoonPosition working as expected?

I have noticed some surprising behavior when executing the MoonPosition function. When I provide a range of dates, I get a TemporalData answer: ...
7
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1answer
186 views

Mass distribution in NDSolve

I'm trying to model the solar system with NDSolve, basically a numerical n-body solution. I model the initial positions of bodies from a data set thusly: ...
4
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0answers
183 views

Predicting Manhattanhenge

At the time of writing, Manhattanhenge is tonight in New York City (ref 1), "an event during which the setting sun is aligned with the east–west streets of the main street grid of Manhattan, New York ...
4
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1answer
117 views

How To Improve Mathematica StarData Performance When Compared To AstronomicalData

My tests of using AstronomicalData versus StarData show that StarData requests are 15 times ...
2
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1answer
91 views

How To Replace xAxis and yAxis Number Values With An Associated Name

This application works great. The thing is, the associations: {{xAxis, 6}, {4, 5, 6, 7, 8}}, {{yAxis, 7}, {5, 6, 7, 8}}, while functional, are not very intuitive. How can I replace xAxis and yAxis ...
8
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0answers
85 views

Extracting, Formatting, and Exporting Mathematica AstronomicalData - Is There an Easier Way?

If any of you have tried to use Mathematica AstronomicalData and its newest replacements like StarData, you may already be familiar with the large data issues, and the almost impossible download times....
1
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2answers
94 views

How to Refresh ChartLabels when Manipulate BarChart Take Data Positions Change

See attached sample code at the bottom of this post. Under Manipulate, as I step through BarChart data using Take with different start/end positions, the chart of the data is refreshed, but the ...
0
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2answers
164 views

How to Replace Plot Slot Numbers With Variable Names

The format of my data looks like: ...
3
votes
1answer
156 views

Working with StarData Versus AstronomicalData

Using AstronomicalData I could easily do something like: ...
13
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5answers
4k views

Beautiful dance of the Earth and Venus around the sun

I have seen very nice dynamic graphics created by users of Ma. I would like to get help whether the following graphics can be created using Ma. I was not able to create the dynamic picture here. ...
6
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1answer
392 views

GeoGraphics - mapping the Moon

The link here shows a nice way to depict the map of the Moon in Mathematica. But, is there a way to center the Mollweide projection onto the far side of the Moon?
1
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1answer
802 views

How to add moon to orbit Earth that Orbit Sun

I want to add moon(Blue) that orbiting earth(Red). while Earth is orbiting Sun. this is my code so far that consist of earth, sun and moon. how to write a code so that Moon is orbiting earth instead ...
26
votes
1answer
950 views

Interstellar Image Effects

I'd like to know how to create this type of gravitational lensing effect in an image (here are some star fields from the hubble) "I wrote down the equations and I tested them in Mathematica by ...
4
votes
1answer
195 views

Plotting the Equation of Time: SiderealTime and SunPosition

The equation of time describes the discrepancy between two kinds of solar time. The word equation is used in the medieval sense of reconcile a difference. The two times that differ are the apparent ...