Combine Time Series 

TimeSeriesThread can be used to add, multiply, or otherwise combine time series.

Subtract two time series.

In[1]:=

X {buseyOpen, buseyClose} = Table[TimeSeries[ FinancialData["NASDAQ:BUSE", prop, {{2013, 6, 1}, {2014, 6, 1}}]], {prop, {"Open", "Close"}}];

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X diff = TimeSeriesThread[{1, -1}.# &, {buseyClose, buseyOpen}]

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X DateListPlot[diff, Joined -> False, Filling -> Axis, PlotStyle -> PointSize[Tiny], FillingStyle -> {Red, Black}, ImageSize -> 300]

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Construct the time series of angular distance between the Moon and the Sun.

In[4]:=

X dates = DateRange[{2014, 4, 1}, {2014, 6, 1}, {12, "Hour"}]; sunpos = SunPosition[dates, CelestialSystem -> "Equatorial"]; moonpos = MoonPosition[dates, CelestialSystem -> "Equatorial"];

Define a function to compute the angular distance between two objects on a sphere.

In[5]:=

X AngularDistance[{{\[Phi]1_, \[Theta]1_}, {\[Phi]2_, \[Theta]2_}}] := InverseHaversine[ Haversine[\[Phi]1 - \[Phi]2] + Cos[\[Phi]1] Cos[\[Phi]2] Haversine[\[Theta]1 - \[Theta]2]]/Degree

In[6]:=

X angdist = TimeSeriesThread[AngularDistance, {sunpos, moonpos}];

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X DateListPlot[angdist, ImageSize -> 300, FrameLabel -> "degrees"]

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