Questions on the astronomical applications of Mathematica.

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0
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1answer
55 views

Lack of precision in solar declination leads to odd Fourier result

Here's the sun's declination for a 10 year period (roughly 2000-2010): ...
5
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2answers
128 views

Series solution of the Lane-Emden equation

I have the following problem: I'd like to show how the Lane-Emden equation would look like if someone would solve it as a series. Here's the code: ...
4
votes
1answer
113 views

Impact Crater Sim. with added criteria

I have been trying with out success to edit this impact crater simulation script into producing a variable which calculates crater density. In addition I have been trying to figure out how to ...
6
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2answers
222 views

Solving the path of Earth around Sun

This maybe isn't a universally helpful question. Maybe a little of a code dump. But here goes. I'm trying to solve the path Earth moves around Sun from Earths mass, Suns mass, Earths initial velocity ...
5
votes
1answer
136 views

Confused by result of MoonPosition when running on Linux [closed]

I've just switched from Windows to Linux and am running Mathematica 10.1 on Ubuntu 14.04. MoonPosition[] Gives me: ...
6
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0answers
72 views

Heliocentric coordinates in PlanetData

I tried to use planets' HeliocentricLongitude and I wonder if anyone has any insight on what coordinate system they use. I took vernal equinox times from http://ns1763.ca/equinox/eqindex.html and ...
11
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1answer
191 views

How can I get curated data to be expressed consistently in SI units?

AstronomicalData objects are consistently in SI units: ...
9
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1answer
204 views

Finding planetary conjunctions with Mathematica (project-level) [closed]

Summary: What's an efficient way of finding planetary conjuctions with Mathematica using the SPICE kernels, and without using AstronomicalData (which I believe is less efficient). NASA publishes ...
3
votes
1answer
122 views

Computing planet conjunctions with 2D circular orbits still hard?

All methods I've seen for computing planetary/stellar conjuctions (when two planets or a planet and a star appear close together in the sky because their angular separation, as measured from Earth, ...
9
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1answer
196 views

GeoProjection for astronomical data - wrong ticks

Here is an excellent answer to what I wanted to do, and it works like a charm. Unfortunately, when I want to change it a bit, it fails. For setting the stage, here is the datafile, and this is my ...
2
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0answers
42 views

PlanetData “VelocityAroundSun” giving inconsistent answers

My goal is to create a ListPlot showing the Earth's orbital speed over the course of a year, with one datapoint per day. I'm seeing problems long before I even get to the point of plotting the data! ...
4
votes
1answer
304 views

Using ParametricNDSolve and NMinimize to find accurate interplanetary trajectory arrival periapse radius

I have an interplanetary trajectory simulation that calculates the required velocity (using a Lambert solver) and escape angle for a spacecraft to travel from Earth to Mars. This model does not use a ...
7
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1answer
165 views

ParametricNDSolve[ ] and NMinimize[ ] in Combination

I have the following code that is used to simulate a spacecraft orbiting Mars, and uses ParametricNDSolve to vary the spacecraft's initial conditions using a parameter value ...
5
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0answers
85 views

Is there a problem with some of the curated Star Data?

I'm not really sure if I'm doing something wrong, or if there's a problem with some of the Mathematica curated data on stars. My problem is this: I'm trying to find the location (latitude and ...
2
votes
2answers
101 views

Finding Minimium Periapse Distance Between Spacecraft and Planet

I have the following simple model that simulates a spacecraft orbiting Mars. What I'm hoping to do is be able to find the periapse radius of the spacecraft as I did below, except instead of using ...
4
votes
1answer
99 views

Inaccurate Heliocentric coordinates of PlanetaryMoonData

I have noticed that the heliocentric coordinates obtained with PlanetaryMoonData are very inaccurate. Fore example, consider the Galilean moons of Jupiter: ...
2
votes
1answer
91 views

How to find µ (Gravitational constant mass product) with PlanetData?

I would like to use PlanetData to get ยต, the product of the Gravitational constant G and a ...
8
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2answers
446 views

Generate a list of symbols for the planets

I would like to generate a list of the symbols for the planets to include in a nice table with other data. How can I programmatically generate (eg. using a pure function) the symbols from a list of ...
4
votes
1answer
55 views

Accessing Coordinates of Astronomical Data, e.g. Declination of all Galaxies

I am trying to access the coordinate information of all galaxies, stars, etc, available to the new astronomical data incorparated to Mathematica. However, the suggested (documented) approach fails. ...
18
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1answer
522 views

Right Ascension and Declination in astronomical functions

In the process of answering this question, I was forced to confront the various astronomical coordinate systems used by Mathematica. Background In astronomy, positions of celestial objects (stars, ...
7
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0answers
105 views

MoonPosition and TimeZone support

With this question, I noticed some some weird results of MoonPosition. Consider the following code: ...
9
votes
1answer
365 views

Geocentric, Earth-fixed, coordinates of Sun, Moon (and others objects eventually)

I know I can get "HelioCoordinates" of the Earth and the Moon with ...
7
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0answers
128 views

How to get star coordinates for a given time

In the documentation of StarData, there is an example that shows how to get the altitude of Sirius at a given time (in the horizontal coordinate system). However, ...
0
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0answers
117 views

Plotting stellar spectrum from FITS file

I would like to make a plot of wavelength v. relative frequency from the stellar spectrum data in a FITS file (in order to fit a curve to one of the spectral lines). I used ...
15
votes
2answers
295 views

Align stars in multiple images

I hope that you find this question interesting and that this will help others with similar problems as this configuration is not so particular. My problem I have multiple images of a particular ...
17
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2answers
538 views

Using map projections with astronomical data

I noticed that all important "Geoprojections" are available in projections for a spherical reference models: GeoProjectionData function; 1 - I am trying using the sinusoidal projection for ...
4
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0answers
160 views

HEALPix grid on a sphere

Are there any Mathematica tools for using the HEALPix ( Hierarchical Equal Area isoLatitude Pixelation) grid on a sphere? It is commonly used in astronomy, but I have not found any Mathematica ...
1
vote
1answer
228 views

Astronomy: Transform coordinates from horizon to equatorial

I'm using Mathematica 10. Giving a longitude & latitude on Earth, giving a local time, how can I transform Horizon Coordinte (az , alt) to Equatorial Coordinate (RA , DEC). Use function so I can ...
2
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0answers
129 views

Creating an orrery

I am interested in creating an orrery, ideally with SystemModeler. I have been experimenting with the MultiBody library since that allows you to do animations. The most relevant example seems to be ...
4
votes
1answer
961 views

Combining Gravity Turn and Orbit Models

I have a mathematical model for the motion of an orbiting spacecraft about Earth: ...
19
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1answer
319 views

Segmentation of sunspots

I recently went for a walk with my camera and snapped a few pictures of the sun. The pictures didn't turn out too well, but this was to be expected without a telescope. I thought it might be a nice ...
5
votes
1answer
152 views

Obsolete AstronomicalData - how to convert to PlanetData

As of Mathematica version 10, AstronomicalData is obsolete, deprecated in favor of PlanetData, ...
1
vote
2answers
122 views

Problem evaluating a complicated integral

Apologies for stating my problem poorly in the first instance, thank you for the help in narrowing down the issue. Problem For those interested, it's for the exact unbiased inverse of the ...
7
votes
2answers
549 views

Combining three R, G, B matrices into a single matrix of 3-tuples?

Working with Mathematica 8 on OSX here. I have three $1024 \times 1024$ matrices representing the counts from consecutive exposures onto a CCD with $R$, $G$, and $B$ filters on it, and am looking to ...
6
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1answer
258 views

How can I get this Graphics3D to rotate around a particular sphere?

I made this Graphics3D of the Sun with the plotted orbits of a few astronomical objects. ...
1
vote
1answer
273 views

Combining solar system planets orbits and positions in Graphics3D and Show

I am building an animated model of the solar system, where I would like to display the OrbitPaths of the planets along with their ...
0
votes
1answer
111 views

AstronomicalData not including units?

I like using mathematica to do my physics homework, and AstronomicalData is useful for that, but it doesn't seem to work properly with units. [the question is, at ...
5
votes
1answer
141 views

Finding minimum fly-by radius between Mars and spacecraft from interpolating function

I've written an interplanetary trajectory solver/plotter that plots the path taken by a spacecraft on an Earth-Mars mission, but have run into a little trouble when the spacecraft actually reaches ...
2
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1answer
175 views

Using DeleteCases with multiple AstronomicalData properties

I am attempting to use AstronomicalData and DeleteCases together to remove invalid cases of two properties while listing the ...
1
vote
2answers
131 views

Computing lists using AstronomicalData

Edit: Initially in my question I asked how I could search the database of AstronomicalData["Exoplanets"] and return 2 filtered values that only contained valued ...
5
votes
1answer
623 views

p-iteration algorithm to solve Lambert's problem for interplanetary trajectories

I've been reading up on using the p-iteration method to solve Lambert's problem for choosing the correct interplanetary trajectory between two planets given the ...
10
votes
2answers
415 views

Impact Crater Simulation

I have been trying to model crater formation on a given planetary surface - $500\,\textrm{km}^2$. The locations of impacts are random, however, if an impact is within $30\,\textrm{km}$ of another, the ...
11
votes
2answers
377 views

How to get the distance of Jupiter from the sun?

I am aware of the command AstronomicalData["Jupiter", "Distance"] from which I can get the distance between the earth and Jupiter. Is there any way to use ...
2
votes
2answers
1k views

Circular Orbit Velocity in Vector Components

I'm trying to find out how to calculate the initial velocity needed to keep a spacecraft in a circular orbit around the Earth given its initial position and an initial angle theta in a Cartesian ...
1
vote
0answers
269 views

Earth to Mars Interplanetary Travel Escape Velocity [closed]

I'm trying to create a script that simulates interplanetary travel from Earth to Mars using a Hohmann transfer, but I'm having a few difficulties getting the correct escape velocity. I'm using an x-y ...
16
votes
3answers
775 views

Only final result from NDSolve

Finally, I started to play with differential equations in Mathematica. And I have faced the problem, which seems to me so basic that I'm afraid this question is going to be closed soon. However, ...
5
votes
1answer
241 views

AstronomicalData and Planetary Heliocentric (x,y,z) Velocity Components

I'm trying to find data on the heliocentric velocities of planets in our solar system and was directed to Mathematica's AstronomicalData in a previous topic. ...
1
vote
0answers
646 views

Solar System Orbital Parameters [duplicate]

I recently made an n-body simulation and thought it would be interesting to try and model it on the interior of our solar system (Sun to Mars), but I cannot find initial conditions for such an ...
19
votes
1answer
1k views

The Orbit and Perigee of the Flamsteed comet

Historical context This year we have the 330-th anniversary of the Battle of Vienna - one of the great formative events of European history, it took place on September 12, 1683. Kara Mustafa, Grand ...
20
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2answers
5k views

Creating a simulation of our Solar System

As the title says, my objective is to create a simulation of the motion of the planets in our Solar System using Mathematica. All the theoretical background regarding the equations of motion of ...