referring to fig1 the electric oscillator consists of a series loop which comprises a variable capacitor 10 having a variable capacitance c 1 , a piezoelectric crystal resonator 30 and an amplifier 40 . a circuit 50 , the input of which is connected to the output terminal 41 of the amplifier 40 and to one of the terminals 11 of the capacitor 10 , matches the level and impedance of the oscillation signal which it provides at its output 52 to circuits or means ( not represented ) adapted to the above - mentioned applications . a vector γ representing the acceleration to which the oscillator is subjected has been shown in an arbitrary direction and for which the object of the invention is to compensate its effects by means of an automatic variation in the value of the capacitance c 1 . turning now to fig2 which shows the piezoelectric crystal 31 of the resonator 30 and these three principal axes which are represented , according to practice , as ox &# 39 ;, oy &# 39 ; and oz &# 39 ;. the crystal 31 is , for example , a quartz crystal having an at cut . it is known that this cut provides the maximum frequency stability and a minimum sensitivity to variations in temperature . to provide for maximum resonance , the face 32 of the crystal 31 is in the form of a portion of sphere for which the convexity is oriented in the direction oy &# 39 ;. the frequency deviation δ f of such quartz crystals in different directions relative to the principal axes has been determined by means of experiments with rotating arms , by varying the number of points of resonator support ( not shown in fig2 ) for different values of acceleration . it has been found that , in all cases , the frequency deviation δ f on either side of the nominal frequency defined as the frequency under zero acceleration , can be expressed by an equation of the form : δ f = k . sub . x γ . sub . x = k . sub . y γ . sub . y = k . sub . z γ . sub . z ( 1 ) an expression in which δ f is expressed in hertz , γ x , γ y and γ z are the respective projections of the acceleration vector γ on the three principal axes ox &# 39 ;, oy &# 39 ; and oz &# 39 ;, and k x , k y and k z are coefficients of proportionality characteristic of said resonator which are practically constant over an wide range of values of acceleration . by way of example , it is found for a quartz crystal having an at cut as defined above and vibrating at the nominal frequency of 5 × 10 6 hertz , that : for values of acceleration between - 50g and + 50g . the coefficients k x , k y , k z are expressed in hertz per unit of acceleration due to terrestrial gravity ( hz / g ). it will noted that equation ( 1 ) is in the form of a scalar product : in which γ is the acceleration vector and k is a vector expressing , in modulus and in direction , the sensitivity to acceleration of the resonator under consideration . referring again to fig1 it will be recalled that the frequency of oscillation of the resonator 30 can be corrected by the addition of a capacitance in series . the electric equivalent of the resonator 30 and the structure of the variable correcting capacitor 10 have been shown . the series resonant circuit consisting of the resistance r , the inductance l and the capacitance c corresponds to the piezoelectric crystal of resonator and the capacitor c 0 to the inter - electrode capacitance of resonator . c 1 is the value of the capacitance of the variable capacitor 10 . it will be recalled that the shift in frequency δ f caused by the addition of the capacitance c 1 is expressed by the following equation : by way of example , for a quartz crystal such as that which has already been considered ( f = 5 × 10 6 hertz ), one can assume the following approximate values : if the value of the capacitance c 1 is substantially greater than that of capacitance c 0 , the equation ( 3 ) becomes , to a first approximation : in fact , to obtain a more accurate control of the frequency , in general the capacitor 10 of capacitance c 1 , comprises two capacitors in parallel , one having a fixed capacitance c 2 and the other having a variable capacitance c 3 , the capacitance c 2 being substantially greater than c 3 . the equation ( 4 ) then becomes : d ( δ f ) = - δ f · dc . sub . 3 /( c . sub . 0 + c . sub . 2 + c . sub . 3 ) ( 6 ) in accordance with the invention , the previous considerations justify the use of a variable capacitor connected in series with the resonator and means to make the value of the capacitance of the capacitor dependent on the value of the acceleration to compensate the shift in frequency of said resonator caused by said acceleration . one could for example make one of the geometric parameters so that they had a degree of freedom ( degree of overlap or distance between the electrodes ) which controls the capacitance of the variable capacitor dependent upon the value of the signal produced by an acceleration sensor . but the invention provides a preferable solution which is particularly simple and efficient and which consists in making the acceleration sensor part of the variable capacitor by mounting the movable electrode thereof by means of a resilient return member . in accordance with a first embodiment of the invention , it will be seen that , by conferring a predetermined mass m to the movable electrode and a predetermined spring constant λ to the resilient return member , one can assign a substantially predetermined linear law for the variation of said parameter as a function of acceleration . for reasons of sensitivity to the acceleration and facility of construction , the distance between the electrodes is preferably chosen as the dependent parameter . as for the resilient return means , use can be made for example of an enclosed gaseous volume between the electrodes and an elastic gas - tight sleeve . it is however simpler to use a suspension having elastic blades such as will be described with reference to fig3 and 4 . the stationary electrode 12 of a capacitor having a capacitance c 3 is glued on an insulating support 13 extended by arms 14 . the movable electrode 15 parallel to the electrode 12 is a plate of conductive resilient material , for example an alloy of nickel , being extended by two blades 16 having a spring constant λ which overlap the arms 14 and in which longitudinal grooves 17 are formed . stud bolts 18 are provided in the arms 14 and support the blades 16 in the grooves in which they penetrate by means of threaded ends 19 , on which are screwed tightening units 21 . the nuts 21 are not shown in fig4 . a plate 22 of insulating material is glued on the armature 15 and plays the roll of an inertia block having a mass m . the electrodes 12 and 15 are respectively connected by conductors 23 and 24 crossing parts 13 and 22 to the output conductors 25 and 26 . the variable capacitance c 3 of the capacitor whose structure is shown in fig3 and 4 , is represented by the classical formula : in which ε 0 is the permittivity of air equal to 8 . 84 × 10 - 12 f / m , s is the overlapping surface area of the electrodes and e is the distance between the electrodes . given the symmetry of the mechanical links , s is practically invariant and only e varies linearly as a function of the acceleration . if the directions of the vector k ( see equation ( 2 )) is known , for example by means of a previous determination of the coefficients k x , k y , k z of equation ( 1 ), the capacitor of capacitance c 3 can be arranged so that the surface area of its electrodes is perpendicular to said vector k . according to formula ( 8 ), a value γ k of the component of γ in the direction k such that it causes a variation de of the distance e , causes a variation in capacitance : for a given mass m of the inertia block 22 ( the mass of the plate 15 being negligible ) and a spring constant λ of the blades 16 : it is therefore possible to provide by means of a variable capacitor having an elastic suspension of the type described with reference to fig3 and 4 , by suitable determining its geometrical and mechanical parameters ( distance between the electrodes , overlapping surface area , spring constant of the blades ) by construction or by means of adjustable members not shown in fig3 and 4 , a compensation which is substantially exactly equal to the shift in frequency brought about by the accelerations to which the oscillator is subjected . according to a second embodiment of the invention , the compensation for the shift in frequency caused by the accelerations to which the oscillator is still subjected is rigorously exact . in the equation ( 5 ), the sensitivity of adjustment can be deduced as follows : it appears from the two previous equations that the compensation in the acceleration effects by a variable capacitance c 3 is not purely linear on account of the non - linear term as a function of c 3 in the denominator of the equation ( 14 ). thus , the total variation law depends on the law for the variation of frequency as a function of the capacitance c 1 ( or c 3 ) of the variable capacitor 10 , and on the law for the variation of the capacitance c 1 as a function of the acceleration γ . as has already been stated , this latter law is dependent essentially on two geometric parameters , i . e . the distance e between the electrodes and the overlapping surface area s of the electrodes of the capacitance c 3 which is given by the formula ( 8 ). from this , the variation in capacitance is given by : in a similar manner to the first embodiment , for reasons of simplicity of construction , only a single parameter e or s for which the non - linear variation corrects the shape of the electrode of the capacitor of capacitance c 3 is retained in order to compensate exactly for the linear variation of the shift in frequency of the resonator caused by the acceleration γ . according to a preferred embodiment shown in fig5 the capacitance c 3 varies as a function of the surface area s by means of a flexible blade 160 , one of the ends of which is embedded while the other end is fixed longitudinally to one of the electrodes 150 of the capacitor of capacitance c 3 . this movable electrode 150 in the form of rectangular parallelepiped offers a projecting part s to another stationary electrode 120 . the distance e between the electrodes 120 and 150 is practically constant . the electrode 120 has a profile p ( u ) on each of its transverse edges which is symmetrical in relation to the transverse median plane of the movable electrode 150 of which the shape allows the effect of non - linearity to be compensated . the stationary electrode 120 is insulated from the movable electrode 150 and the movable electrode 150 is maintained by the blade 160 by means of a fixing assembly for example similar to that described with reference to the first embodiment shown in fig3 ( elements 14 , 17 , 19 , 21 ). referring now to fig6 the outline of the surface of the stationary electrode 120 has been shown bounded by transverse edges having a profile p ( u ) which are symmetrical in relation to an axis ou perpendicular to the blade 160 and parallel to the vector k of sensitivity to acceleration and for which the direction is assumed to be constant . in this case , by designating the mass of the movable electrode 150 as m , the movable electrode 150 playing the roll of the inertia block , and by γ the component of the acceleration vector γ in the direction k , the fundamental dynamics equation relative to a small displacement du of the electrode 150 in the direction k ( or ou ) leads to the following equation : where λ in kg / s 2 is the spring constant of the blade 160 . from equations ( 14 ) to ( 17 ), profile p ( u ) appropriate for compensating for the effects due to non - linearity can be formulated and defined as : ## equ1 ## where h and u represent the thickness and the co - ordinate of the middle point of the movable electrode 150 . by substituting dγ given by the equation ( 17 ) in the equation ( 15 ) and by expressing dc 3 by the equation ( 16 ), the equation ( 14 ) is rewritten as : ## equ2 ## the previous first - order differential equation expressing the function s as a function of the variation of u can be written in the following form : ## equ3 ## where a and b are constant such that : ## equ4 ## by integrating equation ( 19 ), one find that ## equ5 ## where k is a constant of integration determined from the initial conditions under zero acceleration , that is to say as a function of the overlapping surface area s 0 in the rest position u 0 of the movable electrode 150 : the profile p ( u ) deduced from the derived function of s ( u ) is given by the equation ( 22 ), ignoring the sign : ## equ6 ## from the previous equation ( 23 ), it appears that one proceeds firstly to an adjustment of the nominal value of the capacitance c 3 such as : and that under an acceleration γ , the displacement du of the mass m of the electrode 150 will allow the compensation for non - linearity to be improved . according to other embodiments of the present invention , the vector k is unknown . calculations show that the compensation can be obtained by means of three variable capacitors of the type described above , the capacitors being connected in parallel with themselves and in series with the resonator 30 , and arranged respectively so that the displacements of their movable electrodes ( 15 or 150 ) are parallel to the three principal axes ox &# 39 ;, oy &# 39 ;, oz &# 39 ; of the piezoelectric crystal 31 of the resonator 30 . by referring to fig8 the arrangement of the electrodes 15 and 16 of the three variable capacitors c 31 , c 32 and c 33 whose surfaces are perpendicular to the three axes ox &# 39 ;, oy &# 39 ; and oz &# 39 ;, respectively , is shown diagrammatically according to the above mentioned example of the first embodiment for which their interelectrode distance varies along their principal respective axes . on the contrary , referring to fig9 the three variable capacitors c 31 , c 32 and c 33 have the surfaces of their electrodes 120 and 150 arranged in parallel and at a constant respective distance e / 2 from the axes ox &# 39 ;, oy &# 39 ; and oz &# 39 ; respectively , according to the above mentioned example of the second embodiment . in a general manner , each capacitor c 31 , c 32 or c 33 is analogous to one as described in accordance with the first or the second embodiment of the invention . in either of the previous cases , the capacitance of the compensation capacitor is such that c 1 = c 2 + c 31 + c 32 + c 33 . by way of non - limiting example , fig7 shows the profile of of the stationary electrode 120 ( dimensions expressed in mm in fig7 ) of the variable capacitor having an adjustable capacitance c 3 for the following initial values : c = 10 - 16 farad ; c 0 = 5 × 10 - 12 farad ; c 2 = 20 × 10 - 12 farad ; rest position : s 0 = 10 - 5 m 2 ; ( u 0 - k ) = 3 × 10 - 3 m . from the previous equations ( 18 ) and ( 20 ) to ( 23 ), it is deduced that : h = s 0 [ p ( u 0 - k )] = 3 . 182 × 10 - 3 m ______________________________________ ( u . sub . 0 - k ) in meters 1 . 4 × 10 . sup .- 3 3 × 10 . sup .- 3 4 . 6 × 10 . sup .- 3p ( u . sub . 0 ) in meters 14 . 43 × 10 . sup .- 3 3 . 142 × 10 . sup .- 3 1 . 337 × 10 . sup .- 3______________________________________