**
Ulysses HISCALE Data Analysis Handbook**

## Appendix 10. Effect of Backscattered Electrons on the Geometric Factors of the LEMS30 Telescope (Hong MS Thesis)

The following tables show the
number of escapes for each area ΔA_{i} and
different energies. Each escape is an electron which starts
from the center of the area ΔA_{i}, makes its way
out of the chamber of the telescope and reaches the
aperture. The electron might not have any impact with the
wall of the telescope, but if the electron hits the wall we
assume the electron has a single elastic specular
backscattering with the wall and continues its trajectory
until it hits the wall (terminated) or the aperture
(escape). The probability of the backscattering is
determined by the energy, atomic number of the target and
the incident angle of the electron. The probability formula
is based on Radzimski's formula (see also section
A10.7). For each area ΔA_{i} an
electron runs every δθ = 2º and δΦ =
5º and exhausts all possible polar θ and
azimuth Φ angles.

Table A10-3 Escaping trajectories (Radzimski model)

Given here are the results of the different backscattering coefficients which are based on G. Neubert and S. Rogaschewski's paper (Neubert, G., and Rogaschewski, S., Phys. Stat. Sol. (a), 59, 35, 1980). Other parameters are the same as the previous. The number of escapes without considering the backscattered effect is given later.

Table A10-4 Escaping trajectories, Neubert model

The following table shows the number of escapes for each corresponding area of DAi and different energies. Each escape is an electron which starts from the center of the area DAi and reaches the aperture of the telescope without any impact with the wall of the telescope. Those electrons that hit the wall would be terminated in their trajectory. Other parameters are the same as for the backscattering cases. For both cases the results are the same.

Table A10-5 Escapes without scattering

Next: A10.10 Appendix - Trajectories of the Escaped Electrons

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Updated 8/8/19, Cameron Crane

## QUICK FACTS

**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