Lisa amplitude modulation: A study of the angular resolution of LISA for monochromatic gravitational waves

We present formulae for the amplitude modulation of the X,Y and Z TDI combinations for monochromatic gravitational waves and use these to study the LISA angular resolution in the case of large SNR. The angular resolution, Δθ/(0.1 * SNR), is found to lie between 2° and 5° and is somewhat dependent on the ecliptic colatitude angle (β), on the polarisation (h+,hx) and much less on the ecliptic longitude angle (λ). Comparisons with other studies are presented. Future studies will treat the case of small SNR.