input averaging time in secs average #sampling_classic input averaging time in secs median average #median input averaging time in secs root mean square #rms input window time in secs min() function #min input window time in secs max() function #max input window time in secs variance() function #var input window time in secs skewness() function #skew input averaging time in secs average #sliding_average input averaging time in secs root mean square #rms_sm input window time in secs min() function #min_sm input window time in secs max() function #max_sm input window time in secs variance() function #var_sm input window time in secs skewness() function #skew_sm input averaging time in secs smooths with a boxcar average #boxcar input time interval T in secs to delay by Shifts parameter by T secs back (T < 0) and forth (T > 0)) #timeShift ,6,100 Remove Spikes ( ! Experimental ! ) : filter(param, factor,nPoints) #filter density[cm^⁻3], b_magnitude[nT] Alfven velocity Valfven(density[cm^⁻3], b_magnitude[nT]) alfvenVelocity Perreault and Akasofu 1978 model u = perreault78(E_mag, B_mag, theta_p) perreault78 NEWELL et al 2007 solar wind-magnetosphere coupling function d_phi/d_t = newell2007(mu, B_mag, theta) newell2007 xyz_sm (Re), dipole tilt angle (deg) ,tilt_angle_60 Distance (Re) from s/c location to Fairfield1970 model neutral sheet position.<br/> dZ = fairfield70(xyz_sm, tilt_angle),<br/> xyz_sm is the s/c SM coordinates (Re) and tilt angle is in degrees.<br/> Valid for y_sm < 15 Re. fairfield70 xyz_sm (Re), dipole tilt angle (deg) ,tilt_angle_60 Distance (Re) from s/c location to Fairfield1980 model neutral sheet position.<br/> dZ = fairfield80(xyz_sm, tilt_angle),<br/> xyz_sm is the s/c SM coordinates (Re) and tilt angle is in degrees.<br/> fairfield80 Kp, MLT (deg), R (Re), dipole tilt angle (deg) omni_kp,,,tilt_angle_60 Magnetic latitude of the neutral sheet (Lopez1990 model) <br/> MLAT = lopez90(Kp, MLT, R, tilt_angle) <br/> Kp is the 3-hour magnetic index, MLT the magnetic local time in degrees (MLT = 0° at midnight) R is the radial distance in RE and dipole tilt angle in degrees lopez90 Input frame: Output frame: The vector represents a position in space Frames transformation #framesTransformation GSE to GSM frame transformation #GSE2GSM GSM to GSE frame transformation #GSM2GSE Angle between two vectors angle Cross product cross Dot product dot Build vector from components vector_ Magnitude magnitude Absolute value abs Arc-cosine acos Natural logarithm log Logarithm to the base 10 log10 Arc-sine asin Arc-tangent atan Arc-tangent atan2 Closest integer greater than or equal to its argument Ceil cosine cos Hyperbolic cosine cosh deriv() function with possibly unequal point spacing #deriv Natural exponential function exp Integer Fix Closest integer less than or equal to its argument Floor Sign Sign Sine sin Hyperbolic sine sinh Tangent tan Hyperbolic tangent tanh Square root sqrt