AMERICAN MOBILE SATELLITE CORP
SC 13D, 1996-10-09
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. 4)*

                      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. 4(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



- --------------------------------------------------------------------------------
   NUMBER OF      7    SOLE VOTING POWER
     SHARES              982,533*
  BENEFICIALLY    --------------------------------------------------------------
    OWNED BY      8    SHARED VOTING POWER
      EACH             2,565,000
   REPORTING      --------------------------------------------------------------
     PERSON       9    SOLE DISPOSITIVE POWER
      WITH               982,533*
                  --------------------------------------------------------------
                  10   SHARED DISPOSITIVE POWER

                       2,565,000
- --------------------------------------------------------------------------------
  11   AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON


       3,547,533*
- --------------------------------------------------------------------------------
  12   CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES*



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


        11.8%*
- --------------------------------------------------------------------------------
  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"), investment
           partnerships, he directed the purchase of 315,000 shares for the
           account of the Partnerships for an aggregate purchase price of 
           $4,427,963. 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 obligations
           of the Issuer as previously disclosed. An additional
           2,163,000 shares were purchased for an aggregate purchase price
           of $37,628,628 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
           402,000 shares were purchased for an aggregate purchase price
           of $7,464,925 for the accounts of investment advisory clients of

<PAGE>
<PAGE>
                                                          Page 4 of 7 Pages


           Baron Capital Management, Inc.("BCM") a registered investment adviser
           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) 2,565,000 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) 315,000
               shares, plus 625,000 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:
                          982,533*
               (ii)  shared power to vote or direct the vote:
                        2,565,000 
               (iii) sole power to dispose or to direct the disposition:
                          982,533*
               (iv)  shared power to dispose or direct the disposition:
                        2,565,000
               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 BCP
           (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, an investment company registered under the Investment
               Company Act of 1940 and an advisory client of BAMCO, owns
               1,933,000 (6.5%) of the shares reported herein.
           (e) Ownership of Less than Five Percent:
               Not applicable.

* Includes 625,000 warrant shares.


Item 6.   Contracts, Arrangements, Understandings or Relationships with
          Respect to Securities of the Issuer
          No material change.<PAGE>
<PAGE>
                                                            Page 5 of 7 Pages

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:     October 9, 1996



                                /s/ Ronald Baron
                                _______________________________________
                                Ronald Baron


Transaction Schedule
From 08-08-96 to 10-08-96

                        Exec.
Date        Account ID  Quantity    Price
- --------  --------  --------  --------

08-09-96  baf       40,000         12.1250
08-15-96  baf       5,000          11.7500
08-15-96  baf       5,000          11.6250
08-15-96  baf       5,000          11.0000
08-16-96  baf       2,000          10.8750
08-16-96  baf       4,000          10.9490
08-16-96  bcm4      2,500          10.9490
08-16-96  bgi       2,000          10.9490
08-20-96  baf       1,500          11.5000
08-20-96  baf       1,500          11.3750
08-20-96  bgi       1,500          11.5000
08-20-96  bgi       1,500          11.3750
08-21-96  bcm4      2,500          11.3750
08-21-96  bcm4      1,700          11.3750
08-21-96  bgi       3,000          11.3750
08-21-96  bip       2,500          11.3750
08-22-96  baf       3,000          12.2500
08-22-96  bcm4      500       11.7500
08-23-96  baf       3,000          12.3750
08-26-96  baf       45,300         12.7500
08-26-96  bcm4      3,800          12.7500
08-26-96  bcm4      4,000          12.7500
08-26-96  bcm4      1,600          12.7500
08-26-96  bcm4      4,000          12.7500
08-26-96  bcm4      5,000          12.7500
08-26-96  bcm4      5,000          12.7500
08-26-96  bgi       2,000          12.7500
08-26-96  bip       2,500          12.7500
08-27-96  baf       10,000         13.0000
08-27-96  baf       9,700          13.0000
08-27-96  bip       5,000          13.0000
08-28-96  baf       15,000         13.0000
08-28-96  bgi       5,000          13.0000
08-29-96  baf       10,000         13.0000
08-29-96  bgi       5,000          13.0000
08-30-96  baf       5,000          13.2500
08-30-96  baf       900       13.0000
09-04-96  baf       9,100          14.1250
09-04-96  baf       5,000          13.8075
09-04-96  bgi       5,000          14.1250
09-05-96  baf       5,000          13.7500
09-05-96  bcm4      5,000          13.7500
09-05-96  bcm4      2,500          13.7500
09-06-96  baf       10,000         14.1250
09-06-96  bcm4      5,000          13.8750
09-06-96  bcm4      5,000          13.8750
09-06-96  bgi       5,000          14.1250
09-09-96  baf       10,000         14.7237
09-09-96  bcm4      4,000          14.7237
09-09-96  bcp       5,000          14.7237
09-10-96  baf       11,000         15.0000
09-10-96  bcm4      4,000          15.0000
09-12-96  baf       5,000          15.0000
09-12-96  baf       9,000          14.9688
09-12-96  bgi       3,000          14.9688
09-13-96  baf       10,000         14.6477
09-13-96  baf       5,000          14.2500
09-13-96  bcm4      10,000         14.6477
09-13-96  bfa       700       14.2500
09-13-96  bfa       700       14.2500
09-13-96  bgi       2,000          14.6477
09-16-96  baf       10,000         14.3750
09-16-96  bcm4      10,000         14.3750
09-18-96  baf       10,000         14.3750
09-18-96  bcm4      10,000         14.3750
09-19-96  baf       15,000         14.3750
09-19-96  bgi       5,000          14.3750
09-23-96  bcm4      5,000          14.6250
09-26-96  baf       5,000          14.3125
09-26-96  bcm4      5,000          14.3125
09-27-96  baf       5,000          14.3750
10-01-96  bcm4      7,500          14.5000
10-07-96  baf       230,000        12.5053
10-07-96  bcm4      5,000          12.5053
10-08-96  baf       43,000         12.6141



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