Pioneer anomaly engineering questions

Pioneer anomaly engineering questions

I'd like to ask some basic radio engineering questions about the
Pioneer Anomaly. I'm not asking about the physics or relativity, just
some basic radio engineering questions about how the anomaly is
observed and what are the limitations of the measurement.
I am not asking about possible causes of the anomaly.

I assume the basic parameter that is being measured is the carrier
frequency of the radio transmission from Pioneer?

Lets assume the designed transmitter carrier frequency is 1.23000 GHz
for example.

The "expected" spacecraft velocity is known, lets call it 10 miles
per second or 36,000 miles per hour just for example.

The Doppler shift for this velocity can be calculated as about
-66.0293224 kHz so the carrier frequency is expected to arrive as
1.22993397... GHz.

Putting it another way, every 1 MPH corresponds to about 1.8 Hz change
in the received carrier frequency or about 1.5E-9. parts.

What is the accuracy of the frequency standard used on the Pioneer?

Let me assume it is a Rubidium standard and let me assume that the
accuracy is on the order of 1E-12. I will also assume the accuracy of
the Earth based measurement is not a limitation. So the system error
is on the order of 1E-12 or about 0.001 MPH or 0.0045 m/s.

Is this basically correct?

What is the magnitude of the Pioneer anomaly compared to these
numbers?

thanks

Mark

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