Once the constant A and exponent g have been found, the count rate of E3 adjusted to the passband of DE3 can be found:

 

 

There is a more accurate way to compute the exponent g. Once again, let's say we want to adjust E3 to the passband of DE3. To find gamma, we use the following information:

  

R_E2, R_E3
E_E2HI, E_E2LO
E_E3HI, E_E2LO.

 

Then, assuming

 

 

one can write:

 

 

Taking the ratio of these two equations, we obtain:

 

 

We can then define the function

 

 

The function h turns out to be monatomic provided there is no overlap of the passbands of channels E2 and E3. What is sought here is the root g; the simple nature of the function allows one to do a binary search for the root.

 

 

Next: Appendix 9.11 - Calibration of Electron Efficiencies

 

Return to HISCALE List of Appendices

Return to Ulysses HISCALE Data Analysis Handbook Table of Contents

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