AMERICAN MOBILE SATELLITE CORP
SC 13D/A, 1996-08-30
COMMUNICATIONS SERVICES, NEC
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                                                     Page 1 of 7 Pages

                                 UNITED STATES
                      SECURITIES AND EXCHANGE COMMISSION
                            Washington, D.C.  20549

                                 SCHEDULE 13D

                   Under the Securities Exchange Act of 1934
                              (Amendment No. 3*)

                     AMERICAN MOBILE SATELLITE CORPORATION
             -----------------------------------------------------
                                (Name of Issuer)

                                COMMON STOCK
             -----------------------------------------------------
                         (Title of Class of Securities)

                                   02755R103
             -----------------------------------------------------
                                 (CUSIP Number)

                  Linda S. Martinson, Esq. (212) 583-2000
                767 Fifth Avenue, 24th Floor, New York, NY 10153
             -----------------------------------------------------
                 (Name, Address and Telephone Number of Person
                Authorized to Receive Notices and Communications)

                                 
             -----------------------------------------------------
            (Date of Event which Requires Filing of this Statement)

If the filing person has previously filed a statement on Schedule 13G to report
the acquisition which is the subject of this Schedule 13D, and is filing this
schedule because of Rule 13d-1(b)(3) or (4), check the following box [ ].

Check the following box if a fee is being paid with this statement [ ].
(A fee is not required only if the filing person: (1) has a previous  statement
on file reporting beneficial ownership of more than five percent of the class of
securities described in Item 1; and (2) has filed no amendment subsequent
thereto reporting beneficial ownership of five percent or less of such class.)
(See Rule 13d-7.)

*The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities,
and for any subsequent amendment containing information which would alter
disclosures provided in a prior cover page.

The information required on the remainder of this cover page shall not be
deemed to be "filed" for the purpose of Section 18 of the Securities Exchange
Act of 1934 ("Act") or otherwise subject to the liabilities of that section of
the Act but shall be subject to all other provisions of the Act (however, see
the Notes).

                                                    SEC 1746 (12-91)<PAGE>
<PAGE>

                            Schedule 13D Amendment No. 3(continued)
CUSIP No. 02755R103                        Page 2 of 7 Pages



- - --------------------------------------------------------------------------------
   1   NAME OF REPORTING PERSON
       S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

       
       
       Ronald Baron
- - --------------------------------------------------------------------------------
   2   CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
                                                             (a)  [  ]
                                                             (b)  [  ]


- - --------------------------------------------------------------------------------
   3   SEC USE ONLY




- - --------------------------------------------------------------------------------
   4   SOURCE OF FUNDS


       OO
- - --------------------------------------------------------------------------------
   5   CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDING IS REQUIRED PURSUANT TO ITEMS
       2(C) OR 2(E)    [ ]



- - --------------------------------------------------------------------------------
   6   CITIZENSHIP OR PLACE OF ORGANIZATION


       USA
- - --------------------------------------------------------------------------------
   NUMBER OF      7    SOLE VOTING POWER
     SHARES              977,533*
  BENEFICIALLY    --------------------------------------------------------------
    OWNED BY      8    SHARED VOTING POWER
      EACH             2,064,000
   REPORTING      --------------------------------------------------------------
     PERSON       9    SOLE DISPOSITIVE POWER
      WITH               977,533*
                  --------------------------------------------------------------
                  10   SHARED DISPOSITIVE POWER

                       2,064,000
- - --------------------------------------------------------------------------------
  11   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON


        3,041,533*
- - --------------------------------------------------------------------------------
  12   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES*



- - --------------------------------------------------------------------------------
  13   PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)


   10.1%*
- - --------------------------------------------------------------------------------
  14   TYPE OF REPORTING PERSON*



       IN
- - --------------------------------------------------------------------------------
                     *SEE INSTRUCTIONS BEFORE FILLING OUT

* Includes 625,000 warrant shares.
<PAGE>
<PAGE>

                                             Page 3 of 7 Pages

Item 1.   Security and Issuer

          (a)  Name of Issuer:
               American Mobile Satellite Corporation
          (b)  Address of Issuer's Principal Executive Offices:
               10802 Parkridge Boulevard
               Reston, VA 22091
          (c)  Title and Class of Securities:
               Common Stock

Item 2.   Identity and Background

          (a)  Name:
               Ronald Baron
          (b)  Business Address:
               767 Fifth Avenue
               24th Floor
               New York, NY 10153
          (c)  Present Principal Employment:
               President: Baron Capital Management, Inc., BAMCO, Inc.,
               Baron Capital, Inc.
               767 Fifth Avenue
               24th Floor
               New York, NY 10153
          (d)  Record of Convictions:
               No material change.
          (e)  Record of Civil Proceedings:
               No material change.
          (f)  Citizenship:
               No material change.

Item 3.    Source and Amount of Funds or Other Consideration

           Reporting Person owns 42,533 shares of the Issuer directly,
           paid for with cash for an aggregate purchase price of $795,199.
           As General Partner of Baron Capital Partners, L.P. and
           Baron Investment Partners, L.P. (The "Partnerships"),
           an investment partnership, he directed the purchase of 
           310,000 shares for the account of the Partnerships for 
           an aggregate purchase price of $4,354,330. Those shares 
           were paid for by cash assets in the Partnerships' accounts
           and by margin borrowings pursuant to the standard margin
           agreement of Spear, Leeds & Kellogg. BCP also has a warrant
           to purchase 625,000 shares of the Issuer which was
           issued in connection with a guaranty of certain obiligations
           of the Issuer as described in Item 6 hereof.  An
           additional 1,725,000 shares were purchased for an aggregate
           purchase price of $31,852,371 for the accounts of two
           investment companies registered under the Investment
           Company Act of 1940, Baron Asset Fund and Baron Growth &
           Income Fund, (the "Baron Funds"), which are advised by 
           BAMCO, Inc. ("BAMCO"), a registered investment adviser
           which is controlled by Ronald Baron. An additional 339,000
           shares were purchased for an aggregate purchase price of
           $6,566,714 for the accounts of investment advisory clients
           of Baron Capital Management, Inc.("BCM") a registered
<PAGE>
<PAGE>
                                                          Page 4 of 7 Pages


           investment company controlled by Ronald Baron. All of those
           shares were paid for by cash the assets in the accounts of
           the investment companies and advisory clients.
   
  Item 4.  Purpose of Transaction

           No material change.
 
  Item 5.  Interest in Securities of the Issuer

           (a) Amount and percentage beneficially owned:
               Reporting Person: (i) 2,064,000 shares in his capacity as
               a controlling person of BAMCO and BCM. Reporting Person
               disclaims that he is the beneficial owner of these shares. 
               (ii) 310,000 shares, plus 625,00 shares pursuant to the
               warrant, in his capacity as General Partner of the
               Partnerships. (iii) 42,533 shares personally.
           (b) Number of shares as to which such person has:
               (i)   sole power to vote or direct the vote:
                          977,533*
               (ii)  shared power to vote or direct the vote:
                        2,064,000 
               (iii) sole power to dispose or to direct the disposition:
                          977,533*
               (iv)  shared power to dispose or direct the disposition:
                        2,064,000
               Reporting Person may be deemed to share power to vote and
               dispose of shares referred to herein as a result of his 
               control of the investment advisers for whose advisory clients
               he is reporting. He may be deemed to have sole power to vote
               and direct the disposition of the shares referred to above to
               by reason of being a general partner of the Partnerships.
           (c) A schedule of transactions effected in the last sixty days is
               attached hereto.
           (d) Ownership of More than Five Percent on Behalf of Another Person:
               The investment advisory clients have the right to receive the
               dividends from, or the proceeds from the sale of the securities
               in their respective accounts. To the best of Reporting Person's
               knowledge, no person has such interest relating to more than 5%
               of the outstanding class of securities, except that Baron Asset
               Fund owns 5.1%.                   
           (e) Ownership of Less than Five Percent:
               Not applicable.



* Includes 625,000 warrant shares.<PAGE>
<PAGE>
                                                            Page 5 of 7 Pages


Item 6.   Contracts, Arrangements, Understandings or Relationships with
          Respect to Securities of the Issuer

          No material change.

Item 7.   Material to be Filed as Exhibits
          Exhibit 99 - 60 days of trading.
 



 Signature

     After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete
and correct.

Date:     August 28, 1996



                                /s/ Ronald Baron
                                _______________________________________
                                Ronald Baron


American Mobile Satellite (SKYC)        
Transaction Schedule          
From 06-28-96 To 08-28-96          
               
                              Exec.
Date      Account ID     Quantity  Price
- - --------  ----------     --------  --------

07-19-96  baf       15000          13.4375
07-19-96  bcp       25000          13.4375
07-19-96  bgi        2000          13.5
07-19-96  bgi       10000          13.4375
07-22-96  baf       35000          13.232
07-23-96  baf       11000          12.4318
07-24-96  baf        9000          12.25
07-26-96  baf        3000          11.875
07-29-96  baf       12000          12
07-29-96  baf        5000          12
07-30-96  baf        5000          12
07-30-96  bcm4       2000          12
07-30-96  bgi        3000          12
07-31-96  baf        5000          12
07-31-96  baf       10000          11.9375
07-31-96  bgi        5000          12
08-01-96  baf        5000          12.25
08-01-96  bcm4       5000          12.25
08-01-96  bgi        5000          12.25
08-02-96  baf        5000          12.625
08-02-96  bgi        5000          12.625
08-05-96  baf        5000          13
08-07-96  baf        5000          12.375
08-09-96  baf       40000          12.125
08-15-96  baf        5000          11.75
08-15-96  baf        5000          11.625
08-15-96  baf        5000          11
08-16-96  baf        2000          10.875
08-16-96  baf        4000          10.949
08-16-96  bcm4       2500          10.949
08-16-96  bgi        2000          10.949
08-20-96  baf        1500          11.5
08-20-96  baf        1500          11.375
08-20-96  bgi        1500          11.5
08-20-96  bgi        1500          11.375
08-21-96  bcm4       2500          11.375
08-21-96  bcm4       1700          11.375
08-21-96  bgi        3000          11.375
08-21-96  bip        2500          11.375
08-22-96  baf        3000          12.25
08-22-96  bcm4        500          11.75
08-23-96  baf        3000          12.375
08-26-96  baf       45300          12.75
08-26-96  bcm4       3800          12.75
08-26-96  bcm4       4000          12.75
08-26-96  bcm4       1600          12.75
08-26-96  bcm4       4000          12.75
08-26-96  bcm4       5000          12.75
08-26-96  bcm4       5000          12.75
08-26-96  bgi        2000          12.75
08-26-96  bip        2500          12.75
08-27-96  baf       10000          13
08-27-96  baf        9700          13
08-27-96  bip        5000          13
08-28-96  baf       15000          13
08-28-96  bgi        5000          13





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