Add documentation on computing velocity per second
This addresses a question raised in #30.
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@ -103,7 +103,7 @@ solar system, this ephemeris only requires you to take a single step:
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>>> position = kernel[0,4].compute(2457061.5)
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>>> print(position)
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[ 2.05700211e+08 4.25141646e+07 1.39379183e+07]
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[2.05700211e+08 4.25141646e+07 1.39379183e+07]
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But learning the position of Mars with respect to the Earth takes three
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steps, from Mars to the Solar System barycenter to the Earth-Moon
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@ -113,7 +113,7 @@ barycenter and finally to Earth itself:
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>>> position -= kernel[0,3].compute(2457061.5)
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>>> position -= kernel[3,399].compute(2457061.5)
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>>> print(position)
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[ 3.16065185e+08 -4.67929557e+07 -2.47554111e+07]
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[ 3.16065185e+08 -4.67929557e+07 -2.47554111e+07]
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You can see that the output of this ephemeris is in kilometers. If you
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use another ephemeris, check its documentation to be sure of the units
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@ -126,9 +126,9 @@ returned will itself be a vector as long as your date:
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>>> jd = np.array([2457061.5, 2457062.5, 2457063.5, 2457064.5])
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>>> position = kernel[0,4].compute(jd)
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>>> print(position)
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[[ 2.05700211e+08 2.05325363e+08 2.04928663e+08 2.04510189e+08]
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[ 4.25141646e+07 4.45315179e+07 4.65441136e+07 4.85517457e+07]
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[ 1.39379183e+07 1.48733243e+07 1.58071381e+07 1.67392630e+07]]
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[[2.05700211e+08 2.05325363e+08 2.04928663e+08 2.04510189e+08]
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[4.25141646e+07 4.45315179e+07 4.65441136e+07 4.85517457e+07]
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[1.39379183e+07 1.48733243e+07 1.58071381e+07 1.67392630e+07]]
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Some ephemerides include velocity inline by returning a 6-vector instead
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of a 3-vector. For an ephemeris that does not, you can ask for the
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@ -137,10 +137,17 @@ is delivered as a second return value:
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>>> position, velocity = kernel[0,4].compute_and_differentiate(2457061.5)
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>>> print(position)
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[ 2.05700211e+08 4.25141646e+07 1.39379183e+07]
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[2.05700211e+08 4.25141646e+07 1.39379183e+07]
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>>> print(velocity)
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[ -363896.06287889 2019662.99596519 936169.77271558]
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[-363896.06287889 2019662.99596519 936169.77271558]
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The velocity will by default be distance traveled per day, in whatever
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units for distance the ephemeris happens to use. To get a velocity per
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second, simply divide by the number of seconds in a day:
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>>> velocity_per_second = velocity / 86400.0
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>>> print(velocity_per_second)
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[-4.21175999 23.37572912 10.8352983 ]
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Details of the API
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------------------
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