A method of operation of a real aperture radar system for surveillance of the Earth's surface, said real aperture radar system being installed on a space vehicle/platform that moves in a direction of flight and comprising a transceiving antenna, or a transmitting antenna and a receiving antenna, which is/are electronically steerable; the method comprising: a) transmitting, via the transceiving/transmitting antenna, a series of M radar pulses towards a swath of the Earth's surface parallel to the direction of flight using an antenna beam pointed at said swath, wherein M is an integer greater than two; b) for each of the M radar pulses transmitted, receiving, via the transceiving/receiving antenna, a corresponding echo signal during the time interval that elapses between transmission of said radar pulse and transmission of the following radar pulse using the same antenna beam as the one used for transmitting the M radar pulses; c) carrying out elevation scanning cycles, wherein each elevation scanning cycle is carried out by repeating N times the operations a) and b) and by electronically changing, each time, the direction of pointing in elevation of the antenna beam so that, at each elevation scanning cycle, the radar pulses are transmitted towards, and the echo signals are received from, N swaths of the Earth's surface that are parallel to the direction of flight and are adjoining or partially overlapping, wherein N is an integer greater than one; wherein all the radar pulses are transmitted: • with a predefined pulse repetition frequency and a predefined timing of the scanning cycle such that to guarantee a complete coverage of each of the N swaths parallelly to the direction of flight; and • by using a frequency agility technique; wherein all the transmitted radar pulses have one and the same predefined bandwidth; wherein the M radar pulses transmitted, in an elevation scanning cycle, towards one and the same swath occupy, each, a respective frequency band that has said predefined bandwidth and is identified by a respective reference frequency that is spaced apart, from the reference frequencies of the radar pulses transmitted immediately before and immediately after, by a first frequency hop; wherein said first frequency hop is greater than said predefined bandwidth and is smaller than a value that: • indicates the minimum frequency hop that causes a decorrelation of a target illuminated by two successive radar pulses having reference frequencies spaced apart by at least said minimum frequency hop; and • is related to a reference size of a generic target to be detected by the real aperture radar system; wherein the reference frequencies of the M radar pulses transmitted, in an elevation scanning cycle, towards one and the same swath are selected around one and the same central transmission frequency; and wherein in each elevation scanning cycle a respective central transmission frequency is used for each swath, which respective central transmission frequency is spaced apart, from the central transmission frequencies used in said elevation scanning cycle for the other swaths, by a second frequency hop that is greater than the first frequency hop. a) transmitting, via the transceiving/transmitting antenna, a series of M radar pulses towards a swath of the Earth's surface parallel to the direction of flight using an antenna beam pointed at said swath, wherein M is an integer greater than two; b) for each of the M radar pulses transmitted, receiving, via the transceiving/receiving antenna, a corresponding echo signal during the time interval that elapses between transmission of said radar pulse and transmission of the following radar pulse using the same antenna beam as the one used for transmitting the M radar pulses; c) carrying out elevation scanning cycles, wherein each elevation scanning cycle is carried out by repeating N times the operations a) and b) and by electronically changing, each time, the direction of pointing in elevation of the antenna beam so that, at each elevation scanning cycle, the radar pulses are transmitted towards, and the echo signals are received from, N swaths of the Earth's surface that are parallel to the direction of flight and are adjoining or partially overlapping, wherein N is an integer greater than one; • with a predefined pulse repetition frequency and a predefined timing of the scanning cycle such that to guarantee a complete coverage of each of the N swaths parallelly to the direction of flight; and • by using a frequency agility technique; • indicates the minimum frequency hop that causes a decorrelation of a target illuminated by two successive radar pulses having reference frequencies spaced apart by at least said minimum frequency hop; and • is related to a reference size of a generic target to be detected by the real aperture radar system;