The Earth's velocity for direct detection experiments

The Earth's velocity relative to the Sun in galactic coordinates is required in the rate calculation for direct detection experiments. We provide a rigorous derivation of this quantity to first order in the eccentricity of the Earth's orbit. We also discuss the e ect of the precession of t...

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Bibliographic Details
Published inJournal of cosmology and astroparticle physics Vol. 2014; no. 2; p. 27
Main Author McCabe, Christopher
Format Journal Article
LanguageEnglish
Published United States 01.02.2014
Subjects
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
COORDINATES
Cosmology
Derivation
DETECTION
Earth
Earth orbital environments
Eccentricity
ERRORS
FORECASTING
Mathematical analysis
Modulation
ORBITS
PRECESSION
SUN
VELOCITY
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ISSN1475-7516
1475-7516
DOI10.1088/1475-7516/2014/02/027

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Summary:The Earth's velocity relative to the Sun in galactic coordinates is required in the rate calculation for direct detection experiments. We provide a rigorous derivation of this quantity to first order in the eccentricity of the Earth's orbit. We also discuss the e ect of the precession of the equinoxes, which has hitherto received little explicit discussion. Comparing with other expressions in the literature, we confirm that the expression of Lee, Lisanti and Safdi is correct, while the expression of Lewin and Smith, the de facto standard expression, contains an error. For calculations of the absolute event rate, the leading order expression is su cient while for modulation searches, an expression with the eccentricity is required for accurate predictions of the modulation phase.
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ISSN:1475-7516
1475-7516
DOI:10.1088/1475-7516/2014/02/027