A9.3 Chapter 3 - The Specific Problem (continued)

 

Figure A9-10 To determine the solid angle for a particular area element, the electron is placed at the starting coordinate with given starting angles, and its trajectory traced out one line segment at a time.

 

 

 

For example, for i = 1, the first detector element area, one can choose

 

θ_min = 60º, θ_max = 120º, f_min = 300º, f_max = 400º, and

Δθ = 2º, Δf = 2º.

 

These particular numbers will depend on the geometry of the telescope, as well as the detector area element one is using.

 

Next, one writes a program that loops through all the possible starting trajectories in the above range limits, i.e.,

 

θ = 60º, f = 300º,
θ = 62º, f = 300º,
.
.
.
θ = 60º, f = 302º,
.
.
.

A running total of all the trajectories that escape is tallied.  The net result is the total number of trajectories, denoted npas, that make it out of the telescope for a given DAi and electron energy.  The resulting DWi can be determined via

 

 

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Updated 8/8/19, Cameron Crane

Manufacturer: ESA provided the Ulysses spacecraft, NASA provided the power supply, and various others provided its instruments.

Mission End Date: June 30, 2009

Destination: The inner heliosphere of the sun away from the ecliptic plane

Orbit:  Elliptical orbit transversing the polar regions of the sun outside of the ecliptic plane

• Ulysses Information at the Jet Propulsion Laboratory
• Ulysses Website at the European Space Agency