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A drilling apparatus including a drill bit and a nutation device. The drilling apparatus is configured to enable the drill bit to be rotated at a rotation frequency while the nutation device simultaneously nutates the drill bit at a nutation frequency. The nutation device may include a vibrating dev

A drilling apparatus including a drill bit and a nutation device. The drilling apparatus is configured to enable the drill bit to be rotated at a rotation frequency while the nutation device simultaneously nutates the drill bit at a nutation frequency. The nutation device may include a vibrating device for imposing vibrations upon the drilling apparatus at a vibration frequency, thereby causing nutation of the drill bit at the nutation frequency. The drilling apparatus may include a tuning mechanism for tuning the vibration frequency of the vibrating device. A method including rotating a drill bit at a rotation frequency and simultaneously nutating the drill bit at a nutation frequency.

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1. A drilling apparatus comprising: (a) a drill bit;(b) a downhole drilling motor comprising a rotor and a stator;(c) a drive shaft connected with the rotor; and(d) a mass oscillator for imposing transverse vibrations upon the drilling apparatus at a transverse vibration frequency, thereby causing t

1. A drilling apparatus comprising: (a) a drill bit;(b) a downhole drilling motor comprising a rotor and a stator;(c) a drive shaft connected with the rotor; and(d) a mass oscillator for imposing transverse vibrations upon the drilling apparatus at a transverse vibration frequency, thereby causing the drill bit to nutate at a nutation frequency, wherein the mass oscillator comprises a housing, wherein the housing of the mass oscillator is connected with the drive shaft and with the drill bit so that driving the drilling motor causes the drive shaft, the housing of the mass oscillator and the drill bit to rotate at a rotation frequency of the drill bit, and wherein the drilling apparatus is configured so that the drilling motor rotates the drill bit at the rotation frequency while the mass oscillator simultaneously nutates the drill bit at the nutation frequency. 2. The drilling apparatus as claimed in claim 1, further comprising a tuning mechanism for tuning the transverse vibration frequency of the mass oscillator. 3. The drilling apparatus as claimed in claim 2 wherein the tuning mechanism tunes the transverse vibration frequency of the mass oscillator automatically. 4. The drilling apparatus as claimed in claim 1 wherein the transverse vibration frequency of the mass oscillator cyclically sweeps through a vibration frequency range which extends between a lower frequency limit and an upper frequency limit. 5. The drilling apparatus as claimed in claim 4, further comprising a tuning mechanism for tuning the vibration frequency range of the mass oscillator. 6. The drilling apparatus as claimed in claim 5 wherein the tuning mechanism tunes the vibration frequency range of the mass oscillator automatically. 7. The drilling apparatus as claimed in claim 1 wherein the mass oscillator is comprised of at least one turbine and at least one eccentric mass and wherein rotating the turbine rotates the eccentric mass. 8. The drilling apparatus as claimed in claim 7, further comprising a tuning mechanism for tuning the transverse vibration frequency of the mass oscillator and wherein the tuning mechanism is comprised of a bypass valve for diverting at least a portion of a fluid flow so that the portion of the fluid flow does not pass through the turbine. 9. The drilling apparatus as claimed in claim 8 wherein the bypass valve is actuated in response to a parameter related to the operation of the mass oscillator. 10. The drilling apparatus as claimed in claim 9 wherein the bypass valve is actuated automatically or semi-automatically. 11. A drilling assembly comprising a drilling apparatus as claimed in claim 1. 12. The drilling assembly as claimed in claim 11 wherein the drilling assembly further comprises a kickpad or stabilizer for defining an upper node of the drilling assembly. 13. A drilling method comprising: (a) providing a drilling apparatus comprising: (i) a drill bit;(ii) a downhole drilling motor comprising a rotor and a stator;(iii) a drive shaft connected with the rotor; and(iv) a mass oscillator for imposing transverse vibrations upon the drilling apparatus at a transverse vibration frequency, thereby causing the drill bit to nutate at a nutation frequency, wherein the mass oscillator comprises a housing, and wherein the housing of the mass oscillator is connected with the drive shaft and with the drill bit so that driving the drilling motor causes the drive shaft, the housing of the mass oscillator and the drill bit to rotate at a rotation frequency of the drill bit; and(b) simultaneously actuating the drilling motor and actuating the mass oscillator so that the drilling motor rotates the drill bit at the rotation frequency while the mass oscillator simultaneously nutates the drill bit at the nutation frequency. 14. The drilling method as claimed in claim 13 wherein the rotation frequency is greater than the nutation frequency. 15. The drilling method as claimed in claim 13 wherein the mutation frequency is a resonant mode frequency of the drilling assembly. 16. The drilling method as claimed in claim 15 wherein the resonant mode frequency is a Resonant Mode 3 frequency or a Resonant Mode 4 frequency. 17. The drilling method as claimed in claim 13, further comprising timing the nutation frequency for a specific drilling assembly configuration. 18. The drilling method as claimed in claim 13, further comprising tuning the nutation frequency for specific drilling parameters and conditions. 19. The drilling method as claimed in claim 13, further comprising tuning the nutation frequency to achieve a resonant mode frequency of the drilling assembly. 20. A system comprising: (a) a drilling apparatus comprising: (i) a drill bit;(ii) a downhole drilling motor comprising a rotor and a stator;(iii) a drive shaft connected with the rotor; and(iv) a mass oscillator for imposing transverse vibrations upon the system at a transverse vibration frequency, wherein the mass oscillator comprises a housing, wherein the housing of the mass oscillator is connected with the drive shaft and with the drill bit so that driving the drilling motor causes the drive shaft, the housing of the mass oscillator and the drill bit to rotate at a rotation frequency of the drill bit, wherein the mass oscillator comprises at least one rotatable turbine and at least one eccentric mass rotatably connected with the turbine, wherein the turbine is driven by a fluid which is passed through the turbine; and(v) a bypass valve, wherein the bypass valve is actuated cyclically to vary a fluid flow rate through the turbine so that the transverse vibration frequency of the mass oscillator cyclically sweeps through a vibration frequency range which extends between a lower frequency limit and an upper frequency limit; and(b) a pipe string connected with the drilling apparatus. 21. The system as claimed in claim 20 wherein a desired vibration frequency is included within the vibration frequency range. 22. The system as claimed in claim 21 wherein the desired vibration frequency is a resonant mode frequency. 23. The system as claimed in claim 22 wherein the desired vibration frequency is about 50 Hz. 24. The system as claimed in claim 20 wherein the bypass valve has a valve cycling frequency and wherein the valve cycling frequency is less than the lower frequency limit. 25. The system as claimed in claim 24 wherein the bypass valve is actuated cyclically in a non-symmetrical manner. 26. The system as claimed in claim 20, further comprising a tuning mechanism for tuning the vibration frequency range of the mass oscillator, wherein the tuning mechanism is comprised of the bypass valve. 27. The system as claimed in claim 26, wherein the tuning mechanism tunes the vibration frequency range of the mass oscillator automatically. 28. A method for providing a transverse vibratory force to a system comprising a drilling apparatus and a pipe string, comprising: (a) providing the drilling apparatus comprising: (i) a drill bit;(ii) a downhole drilling motor comprising a rotor and a stator;(iii) a drive shaft connected with the rotor;(iv) a mass oscillator for imposing transverse vibrations upon the system at a transverse vibration frequency, wherein the mass oscillator comprises a housing, wherein the housing of the mass oscillator is connected with the drive shaft and with the drill bit so that driving the drilling motor causes the drive shaft, the housing of the mass oscillator and the drill bit to rotate at a rotation frequency of the drill bit, wherein the mass oscillator comprises at least one rotatable turbine and at least one eccentric mass rotatably connected with the turbine, wherein the turbine is driven by a fluid which is passed through the turbine; and(v) a bypass valve for varying a fluid flow rate through the turbine;(b) providing the pipe string;(c) connecting the pipe string with the drilling apparatus; and(d) actuating the bypass valve cyclically to vary a fluid flow rate through the turbine so that the transverse vibration frequency of the mass oscillator cyclically sweeps through a vibration frequency range which extends between a lower frequency limit and an upper frequency limit. 29. The method as claimed in claim 28 wherein a desired vibration frequency is included within the vibration frequency range. 30. The method as claimed in claim 29 wherein the desired vibration frequency is a resonant mode frequency. 31. The method as claimed in claim 30 wherein the desired vibration frequency is about 50 Hz. 32. The method as claimed in claim 28 wherein the bypass valve has a valve cycling frequency and wherein the valve cycling frequency is less than the lower frequency limit. 33. The method as claimed in claim 32 wherein the bypass valve is ac cyclically in a non-symmetrical manner. 34. The method as claimed in claim 28, further comprising tuning the vibration frequency range of the mass oscillator. 35. The method as claimed in claim 34, wherein the vibration frequency range of the mass oscillator is tuned automatically. 36. A drilling method as claimed in claim 13 wherein the nutation frequency is provided using the method as claimed in claim 28.