SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549
                                  SCHEDULE 13D

                    UNDER THE SECURITIES EXCHANGE ACT OF 1934
                               (AMENDMENT NO. 1)*

                            LIBERTY MEDIA CORPORATION
                            -------------------------
                                (NAME OF ISSUER)


1.   Liberty Media Corporation Series A Common Stock, par value $0.01 per share
     ("Series A Common Stock").
2.   Liberty Media Corporation Series B Common Stock, par value $0.01 per share
     ("Series B Common Stock").
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                         (TITLE OF CLASS OF SECURITIES)


1.   Series A Common Stock:                                          530 718 105
2.   Series B Common Stock:                                          530 718 204
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                                 (CUSIP NUMBER)


                             Raymond L. Sutton, Jr.
                              Baker & Hostetler LLP
                        303 East 17th Avenue, Suite 1100
                             Denver, Colorado 80203
--------------------------------------------------------------------------------
(NAME, ADDRESS AND TELEPHONE NUMBER OF PERSON AUTHORIZED TO RECEIVE NOTICES AND
                                COMMUNICATIONS)


                                October 10, 2002
             -------------------------------------------------------
             (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 that is the subject of this Schedule 13D, and is filing this
schedule because of Sections 240.13d-1(e), 240.13d-1(f) or 240.13d-1(g), check
the following box. / /

NOTE: Schedules filed in paper format shall include a signed original and five
copies of the schedule, including all exhibits. See Section 240.13d-7 for other
parties to whom copies are to be sent.

*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).


                            Exhibit Index on Page A-1



                                   CUSIP Nos.

Series A Common Stock:                                               530 718 105
Series B Common Stock:                                               530 718 204
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1)   Names of Reporting Persons I.R.S. Identification Nos. of Above Persons
     (entities only)
     Magness Securities, LLC
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2)   Check the Appropriate Box if a Member of a Group (See Instructions)
     (a) / /
     (b) /X/
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3)   SEC Use Only
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4)   Source of Funds (See Instructions)          OO
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5)   Check if Disclosure of Legal Proceedings is Required Pursuant to Items 2(d)
     or 2(e) / /
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6)   Citizenship or Place of Organization        Colorado
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                    7)   Sole Voting Power
                                   Series A Common Stock         23,346,540(1)
                                   Series B Common Stock         16,224,072
Number of Shares    ------------------------------------------------------------
                    8)   Shared Voting Power
  Beneficially                     Series A Common Stock                  0
                                   Series B Common Stock                  0
 Owned by Each      ------------------------------------------------------------
                    9)   Sole Dispositive Power
Reporting Person                   Series A Common Stock         23,346,540(1)
                                   Series B Common Stock         16,224,072
      With          ------------------------------------------------------------
                    10)  Shared Dispositive Power
                                   Series A Common Stock                  0
                                   Series B Common Stock                  0
--------------------------------------------------------------------------------
11)  Aggregate Amount Beneficially Owned by Each Reporting Person
                                   Series A Common Stock         23,346,540(1)
                                   Series B Common Stock         16,224,072
--------------------------------------------------------------------------------
12)  Check if the Aggregate Amount in Row (11) Excludes Certain Shares (See
     Instructions)                                                         / /
--------------------------------------------------------------------------------
13)  Percent of Class Represented by Amount in Row (11)
          0.98% of Series A Common Stock
          7.65% of Series B Common Stock
--------------------------------------------------------------------------------
14)  Type of Reporting Person (See Instructions)    OO
--------------------------------------------------------------------------------

(1)  Series B Common Stock is convertible at any time on a one-for-one basis
     into Series A Common Stock. SEE Item 5 below. The number of shares of
     Series A Common Stock shown in rows 7 through 11 above assumes that the
     shares of Series B Common Stock shown in rows 7 through 11 above have been
     converted into shares of Series A Common Stock.

                                       2


ITEM 1. SECURITY AND ISSUER

     No Change

ITEM 2. IDENTITY AND BACKGROUND

     As a result of the transaction disclosed in Item 4, Kim Magness now
holds approximately 67% of the interests in the reporting person and Gary
Magness holds approximately 33% of the interests in the reporting person.

ITEM 3. SOURCE AND AMOUNT OF FUNDS OR OTHER CONSIDERATION

     No Change.

ITEM 4. PURPOSE OF TRANSACTION

     On October 10th and 11th of this year, Gary Magness, a member of the
reporting person, withdrew from the reporting person 5,408,024 shares of
Series B Common Stock and 2,374,156 shares of Series A Common Stock,
respectively, and transferred such shares to GMag, LLC, a limited liability
company wholly-owned by Gary Magness in exchange for a pro rata reduction in
his percentage ownership in the membership interests of the reporting person.

     The filing person has no present plan or proposal that relates to or would
result in:

     (a)  the acquisition by any person of additional securities of the Company,
or the disposition of securities of the Company;

     (b)  an extraordinary corporate transaction, such as a merger,
reorganization, or liquidation, involving the Company or any of its
subsidiaries;

     (c)  a sale or transfer of a material amount of assets of the Company or
any of its subsidiaries;

     (d)  any change in the present board of directors of the Company or
management of the Company, including any plans or proposals to change the number
or term of directors or to fill any existing vacancies on the board;

     (e)  any material change in the present capitalization or dividend policy
of the Company;

     (f)  any other material change in the Company's business or corporate
structure;

     (g)  changes in the Company's certificate of incorporation or bylaws or
other actions which may impede the acquisition of control of the Company by any
person;

     (h)  causing a class of securities of the Company to be delisted from a
national securities exchange or to cease to be authorized to be quoted in an
inter-dealer quotation system of a registered national securities association;

     (i)  a class of equity securities of the Company becoming eligible for
termination of registration pursuant to Section 12(g)(4) of the Act; or

     (j)  any action similar to any of those enumerated above.

ITEM 5. INTEREST IN SECURITIES OF THE ISSUER

     (a)  The aggregate number and percentage of the Company Securities
beneficially owned by the filing person are as follows:

                                       3




                                   AMOUNT AND NATURE OF          PERCENT OF CLASS
TITLE OF CLASS                     BENEFICIAL OWNERSHIP              POWER(1)
--------------                     --------------------          -----------------
                                                           
Series A Common Stock                 23,346,540(2)(3)                 0.98%
Series B Common Stock                 16,224,072(3)                    7.65%


(1)  Based on 2,358,053,664 shares of Series A Common Stock, and 212,045,128
     shares of Series B Common Stock outstanding on June 30, 2002.

(2)  Series B Common Stock is convertible at any time on a one-for-one basis
     into Series A Common Stock. The numbers of shares of Series A Common Stock
     shown in this Item 5 assume that the shares of Series B Common Stock have
     been fully converted into shares of Series A Common Stock.

(3)  Each share of Series B Common Stock is entitled to 10 votes per share and
     each share of Series A Common Stock is entitled to one vote per share.


     (b)  The following indicates for the filing person the number of shares of
Company Securities as to which there is sole or shared power to vote or dispose
of the shares:



                                                SOLE VOTING           SHARED VOTING
          CLASS OF SECURITY                        POWER                  POWER
          -----------------                     -----------           -------------
                                                                
          Series A Common Stock                  23,346,540                 0
          Series B Common Stock                  16,224,072                 0




                                                   SOLE                  SHARED
                                                DISPOSITIVE           DISPOSITIVE
          CLASS OF SECURITY                        POWER                 POWER
          -----------------                     -----------           -----------
                                                                
          Series A Common Stock                  23,346,540                0
          Series B Common Stock                  16,224,072                0


     (c)  The transactions described in Item 4 are the only transactions
effected during the last sixty days by the person named in Item 5(a) above.

     (d)  No person is known by the filing person to have the right to receive
or the power to direct the receipt of dividends from, or the proceeds from the
sale of, the Company Securities identified in this Item 5.

     (e)  Not Applicable

ITEM 6. CONTRACTS, ARRANGEMENTS, UNDERSTANDINGS OR RELATIONSHIPS WITH RESPECT TO
SECURITIES OF THE ISSUER

     No Change

ITEM 7. MATERIAL TO BE FILED AS EXHIBITS

     No change

                                       4


SIGNATURES

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.

Dated: October 18, 2002



MAGNESS SECURITIES, LLC


/s/ Kim Magness
-----------------------------
By: Kim Magness, Manager