High velocity ammunition round

A sub-caliber bullet having long-range accuracy, comprising:

• a forward portion, a mid-portion and an aft portion with a blind bore extending into said mid-portion from said aft portion;
• a propellant selected from the group consisting of sustainer propellant and base-bleed propellant within said blind bore and an igniter is in flame communication with said sustainer propellant. said forward portion being a first material having a first density that is in excess of 10 g/cm3 and said mid-portion being a second material having a second density that is less than said first density;
• said sub-caliber bullet having a length, L, to maximum diameter, D, aspect ratio, L:D, of at least 5:1;
• and
• a diameter, d, of said forward portion and of said mid-portion satisfying an aerodynamic equation selected from the group consisting of Power Law equation:
• d=D* (x/L)n
• where:
• x is a distance rearward from a nose of said sub-caliber bullet and n is a Power Law exponent that is between 0.5 and 0.75 and a Von Karman Ogive equation:
• d=D*((Θ−(sin(2Θ)/2))/π1/2)1/2
• where
• Θ=arccos (1−(2*x)/L).

An ammunition round including a sub-caliber bullet having long range accuracy, comprising:

• a cartridge case filled with a cartridge propellant and having a bullet/sabot assembly partially inserted into an open end thereof:
• said sabot having a full caliber forward portion with a length effective to support said bullet;
• and
• said sub-caliber bullet having a forward portion, a mid-portion and an aft portion with said forward portion being a first material having a first density that is in excess of 10 g/cm3 and said mid-portion being a second material having a second density that is less than said first density, said sub-caliber bullet having a length, L, to maximum diameter, D, aspect ratio, L:D, of at least 5:1 and a diameter, d, of said forward portion and of said mid-portion satisfying an aerodynamic equation selected from the group consisting of Power Law equation:
• d=D*(x/L)n
• where:
• x is a distance rearward from a nose of said sub-caliber bullet and n is a Power Law exponent that is between 0.5 and 0.75, a Von Karman Ogive equation:
• d=D*((Θ−(sin(2Θ)/2))/π1/2)1/2
• where
• Θ=arccos (−(2*x)/L)
• and a multi conic ogive.