Descrizione: D:\backup disco E\04_II_SESTANTE_SITO\en\ASTRONOMIA\i_grandi_astronomi\Colombo\biografia_colombiana\indietro.gif

 

z 
 
 
 

Colombo – his early years and training experience   -   founding member Eng. Giampiero Barbieri - Pighin 

Since the beginning the studies of Giuseppe Colombo were devoted to “celestial mechanics” … a field where the dynamics of an artificial satellite or of a celestial body find a logic both at orbital level and at a level of local stability. 

A knowledge of both Kepler and Newton’s theories is necessary to start the study of these phenomena ….. of Newton’s: the numerical integration addressed to bodies having a “peculiar physical shape and the whole array of studies and simplifications for the analysis of the energy exchanges between major and minor bodies …of course, a deep familiarity with differential equations is also requested … 

Colombo is a dreamer, but he is not unprepared. The launching of the first Sputnik into orbit, made him feel sure his thoughts and theories were feasible and within reach of the present-day technology. 
 
 
 
 
 
 
 
 
 
 
 
 
 

Colombo – his early years and training experience 

I wish to recall the fascinating contrast between Galileo and Colombo 

Galileo, closed-barred into his Copernican and heliocentric vision, never managed to free himself from “terrestrial mechanics” … the way he conceived inertia was emblematic: “ … could I lay down on the Earth’s greatest circle a frictionless band, a ball pushed on it would rotate about the globe forever …” 

Colombo, instead, had «a mentality capable to cast aside the traditional terrestrial mode used to face problems» (1)… proof of this is given by all the vast amount of studies devoted to the “Tethered system” or “satellites connected by a tether (cable)”, where actions or energies, effective only in the outer space, can be carried out or exploited … 

Moreover, satellites launched into space are subject to a number of local disturbances and instabilities, such as nutations, directional changes … but Colombo was well organized for answers … his knowledge and experience allowed him to be appointed to the chair of “vibration mechanics” at the University of Padua … knowledge pertaining to terrestrial matters was immediately transposed onto spatial problems. 

Colombo, also, was a man of faith. He was life devoted and participant to his parish church activities … some of his friends were in touch with him for lifetime, like Luigi Gui, a prominent politician of the Democrazia Cristiana (Christian Democrats) 
z 
 
 
 
 
 
 
 
 
 

The American adventure – the stability of satellites 

Colombo’s skills improved very much. Meanwhile the race towards space got started … Colombo was trying to find a way to meet the top management of the NASA (National Aeronautics and Space Agency - U.S.A.), but wisely, he took the matter easy … his friendship with Giuseppe Jacchia, a fellow of his at the University of Genoa, will become of great help … Jacchia observes the sky with love and passion, combining space and geophysics together … a subject, among others, of particular concern to Jacchia 

Jacchia, at the time, was working at the HCO (Harvard College Observatory) in Cambridge … the meeting in Genoa, between Jacchia and Colombo, at the end of the fifties, allowed Colombo to be presented to the SAO (Smithsonian Astrophysical Observatory) and to start a collaboration with the SAO … what convinced the management of the SAO was the experience Colombo showed for the understanding and the solution of the stability problems artificial satellites had in space … during the time of his collaboration, Colombo was able to prove: «that the satellite’s temperature fluctuations and other electromagnetic anomalies, measured by the instruments aboard, were the origin of the variations of the angular velocities » (1) 

Another issue to which Colombo gave an answer was the supposed existence of disturbing elements, such as dusts, accumulated around the Lagrangian stability points L4 and L5 of the Earth’s orbit: … Colombo studied the problem making use of all his experience. He was a “mechanic of the space” and proved, calculations at hand, that the stability, in these points, was that much negligible, that the presence of perturbing clouds of dust could be excluded… 
« What satellites reveal is, therefore, non correct and must find a different explanation ». (1) 
 
 
 
 
 
 
 
 
 
 
 
 
 

Mercury’s 3:2 spin-orbit resonance 

Irwin Shapiro will become another great friend of Colombo. He was an astrophysicist, with whom Colombo endlessly discussed of several problems … Shapiro was observing Venus and Mercury using radar-ranging techniques, trying to test a correspondence with Einstein’s general relativity theory (GR) … others, like Gordon Pettingil and Rolf Dyce made use of the measurements given by the Arecibo radio-telescope to further analyze in detail Mercury’s motion of rotation  

What is deduced from the measurements is: the period of rotation is about 59 days, instead of the 88 considered reasonable till that time (it was assumed, in fact, that its resonance structure should be similar to the Moon’s … that always shows the same face to the Earth, so Mercury should have shown always the same face to the Sun) … but the Arecibo measurements gave a different feedback … 

Of course, Colombo came to know about the 59 days measurement, and immediately considered the possibility of an exact resonance  
3:2 spin-orbit … but this is not all: he suggested a capturing set and the conditions under which the resonance would become stable … 

only a slight axial asymmetry of the planet must be conceived together with Shapiro he published an important, unforgettable, scientific paper work  

Descrizione: D:\backup disco E\04_II_SESTANTE_SITO\en\ASTRONOMIA\i_grandi_astronomi\Colombo\biografia_colombiana\mercurio_risonanza.gif

 
 
 
 
 
 
 
 
 

z 
Resonances and Saturn’s rings ... 

The concept of “resonancebecomes the key that is needed to read the mind of Colombo, and that allows to understand his theories, among which, those concerning the Saturn’s rings … 

Work takes into consideration the advanced results achieved with modern telescopes … 

«the great division in the C ring, once again, corresponds to a resonance effect generated by the motions of the large moon Titan, constantly hidden behind a thick mass of clouds». (1) 

«Already in 1976, a photometric asymmetry was found in the A ring. It was suggested it depended from large particles, locked into the rings, in a synchronous way. Colombo understood it was not so, and assumed instead, it rather was due to a gravitational clustering of small particles in the rings. This hypothesis is now generally accepted as the most reliable explanation and, also, is the first evidence derived from the observation of the density waves in the rings. (1) 
 
 
 
 
 
 
 
 
 
 
 
 

Descrizione: D:\backup disco E\04_II_SESTANTE_SITO\en\ASTRONOMIA\i_grandi_astronomi\Colombo\biografia_colombiana\saturno_risonanze_1.jpg

z 
Each "groove", has a different "resonance" with some satellite ...

z 
 
 
 
 
 
 
 

Mariner 10 ... the robotic space-probe … 

During a symposium on Mariner 10 and on the targets of such mission, Colombo suggested to carefully consider the possibility to fly by Mercury three times, using “gravity assist” techniques. Colleagues of his objected: «Only a stroke of good luck may grant success to such an operation» (1) 

Colombo had different ideas and expressed them quite strongly. An accurate computerized simulation took place, and showed his claims were sound and correct. 

Fuel on board, at the time, took up much space and weighed too much. Colombo’s innovation overcame this limit: “in place of terrestrial mechanics, he used spatial mechanics. 

Some mysteries could have become legible: i.e. the extraordinary density of Mercury with respect to satellites alike, such as the Moon, Ganymede and Callisto. The account of the collisions regarding this planet would have become known, allowing a better understanding of the dynamics of the proto-planetary disk that gave origin to all. 

Technically, after launch from Earth, Mariner 10 will make use of a gravitational slingshot manoeuvre with Venus; immediately after will fly by Mercury and again encounter Mercury twice. Its orbital period was almost exactly twice Mercury’s. As a result of the 3:2 spin-orbit resonance, it would be again brought back in the same spatial configuration. 

At first, Mariner 10 will encounter Mercury at a range of just 705 km.; the third time at only 327 km … this will allow to measure a weak magnetic field, shape and consistency of which will be carefully analysed by the MESSENGER mission. 
 
 
 
 
 
 
 
 

Descrizione: D:\backup disco E\04_II_SESTANTE_SITO\en\ASTRONOMIA\i_grandi_astronomi\Colombo\biografia_colombiana\mariner_10.gif

z 
A stage in the orbit of Mariner 10, just after the first Mercury "fly-by"

z 
 
 
 
 
 
 

The Halley comet’s adventure ... 

In the late Seventies many discussions took place on the possibility to approach a comet, in order to capture its shape and other measurable features of its nucleus. Only Colombo’s great knowledge of celestial mechanics will allow this to become: «A mission that is the result of his imagination». (1) 

The spacecraft will head towards the comet, releasing a smaller probe towards it… 

Colombo will call the mission “Giotto, remembering that, the  transit of the comet Halley in 1301, had been represented by this famous painter in his masterpiece: “L’adorazione dei Magi” (The adoration of the Magi). 

In Europe, one of Colombo’s greatest achievements allows the Giotto mission to anticipate the Hipparchus mission … 

The mission is not at all easy … the spacecraft will have to face the mechanical impact with all the particles released by the comet. Its integrity is at great risk … a double shield will be set up, one of plastic and one of aluminium to dampen the effects of the impacts. 

«For the Giotto mission, in addition to the aspects of the long sidereal cruise, in accordance with the appropriate cosmic trajectories, Colombo studies the complex nutation motions to which the probe could become subject, trying to prevent and to eliminate them, before they become a source of problems». (1) 

Giotto, after a journey of about an astronomic unit (approx. 150 million km.) will near the nucleus of the comet at a range of 596 km. Later on, definitive break-downs will prevent further measurements. 

The shape of the nucleus is “potato-like, which today is, also, common knowledge for many other smaller bodies. Additionally, matter is emitted into space from many points and becomes shiny under the Sun light. 
 
 
 
 
 
 
 
 

Descrizione: D:\backup disco E\04_II_SESTANTE_SITO\en\ASTRONOMIA\i_grandi_astronomi\Colombo\biografia_colombiana\halley_giotto.jpg

z 
The Halley’s Comet nucleus, similar to "a potato", and its typical emissions of matter into the space

z 
 
 
 
 
 
 
 
 

Conclusions ... 

Bepi Colombo was very much close to his family. It was his family that supported his many wanderings throughout Europe and across America at the cost of great sacrifices … his faith, in which he always believed, was also of great help and support to him 

Faith, indirectly, forged him into a man of great reserve. In my opinion, this aspect, by analogy, taught him how to become sturdy in pursuing his targets. 

Evidence of this is given by the lack of photographs related to him … for sure, his character was not similar to Einstein’s … but whoever was in touch and knew him said he was quite friendly and kindly natured … this is how Riccardo Mazzella, a student of his, remembers him: 

«I must say, after 30 years, my reminiscence is quite faint. I was a student of Astronomy, perhaps in my second or third year. Just now I do not exactly remember. What fascinated me was the way Bepi could explain complicated matters in a very simple and easy way. He made us understand how to solve problems of celestial mechanics, putting forward ideas that even the NASA thought excellent. At the time, he was collaborating to a space project. His ideas allowed the same spacecraft to fly by Mercury many times. Really, this meant making the best of the mission. » 

It is in silence that the best and most important targets are achieved … thanks Bepi 

z 

(1)

Giovanni Caprara, "Più lontani nello spazio" - Sperling & Kupfer Editori - Milano - 2006  
z

Descrizione: D:\backup disco E\04_II_SESTANTE_SITO\en\ASTRONOMIA\i_grandi_astronomi\Colombo\biografia_colombiana\indietro.gif