The first step in calculating the observing time needed for an LWS observation is to calculate the S/N that would be achieved on a given ramp for a given signal. This can be done using the following formula:
for continua and
where is the S/N on a single ramp, is the continuum flux, is the line flux (see the LWS Observers Manual for a discussion on the calculation of CFLUX and LFLUX), and is the EFFECTIVE duration of the ramp (i.e. 0.15 sec for bright sources and 0.4 sec for other sources (see above). The achieved S/N per ramp is then given by (given a maximum S/N per ramp of 100):