{"id":"vidhyamitra:city-day:kolhapur:2048-12-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2048-12-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2048-12-07","date_display":"December 7, 2048 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2048,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469417.770833,"kali_year":5150,"ahargana":1880952.2708,"sun":{"sidereal_longitude":230.4936,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":248.2907,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":17.7971,"elapsed_within_tithi_degrees":5.7971},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":248.2907,"elapsed_within_degrees":8.2907},"yoga":{"number":9,"name":"Śūla","sum_longitude":118.7842},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2048,"month":12,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469417.770833,"ahargana":1880952.2708,"kali_year":5150,"ayanamsa_lahiri":24.5366,"grahas":{"sun":{"sidereal_longitude":231.06433900000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":250.81413899999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false,"latitude":0.7956},"mars":{"sidereal_longitude":300.2994389999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":242.76383899999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":62.45813900000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":275.70643900000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":259.3356389999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":238.0969,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":58.0969,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2048,"month":12,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469417.770833,"kali_year":5150,"ahargana":1880952.2708,"sun":{"sidereal_longitude":230.4936,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":248.2907,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":17.7971,"elapsed_within_tithi_degrees":5.7971},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":248.2907,"elapsed_within_degrees":8.2907},"yoga":{"number":9,"name":"Śūla","sum_longitude":118.7842},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.796,"elongation":17.797},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.796,"opposition_distance":162.203}},"eclipse_window_40days":[{"offset_days":13,"type":"lunar","occurs":true,"moon_latitude":-0.379,"opposition_distance":1.575}]},"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"06:50","sunsetLocal":"18:00","solarNoonLocal":"12:25","dayLengthHours":11.166909033968611,"dayLengthDisplay":"11 Hours 10 Mins 01 Secs","nightLengthDisplay":"12 Hours 49 Mins 59 Secs","moonriseLocal":"08:11","moonsetLocal":"19:17","rahuKala":{"name":"Rāhu Kāla","start":"08:14","end":"09:38","startHours":8.234127503539483,"endHours":9.629991132785559,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:02","end":"12:25","startHours":11.025854762031637,"endHours":12.421718391277713,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:49","end":"15:13","startHours":13.817582020523789,"endHours":15.213445649769866,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:49","startHours":9.443875982219417,"endHours":9.816106283351704,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:18","end":"07:36","startHours":7.303551750708766,"endHours":7.6013359916145955,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:48","startHours":12.049488090145426,"endHours":12.79394869241,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:21","end":"06:06","startHours":5.349342669764258,"endHours":6.093803272028833,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:54","end":"06:50","startHours":5.907688121462689,"endHours":6.838263874293407,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:02","startHours":14.282869896939149,"endHours":15.027330499203723,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:48","end":"18:12","startHours":17.80517290826202,"endHours":18.205172908262018,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:00","end":"18:28","startHours":18.00517290826202,"endHours":18.47046078467738,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:45","end":"19:30","startHours":17.75517290826202,"endHours":19.50517290826202,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:48","startHours":24.049488090145427,"endHours":24.79394869241,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:50","end":"08:14","startHours":6.838263874293407,"endHours":8.234127503539483,"quality":"auspicious"},{"name":"Kāla","start":"08:14","end":"09:38","startHours":8.234127503539483,"endHours":9.629991132785559,"quality":"inauspicious"},{"name":"Śubha","start":"09:38","end":"11:02","startHours":9.629991132785559,"endHours":11.025854762031637,"quality":"auspicious"},{"name":"Roga","start":"11:02","end":"12:25","startHours":11.025854762031637,"endHours":12.421718391277713,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"13:49","startHours":12.421718391277713,"endHours":13.817582020523789,"quality":"inauspicious"},{"name":"Chala","start":"13:49","end":"15:13","startHours":13.817582020523789,"endHours":15.213445649769866,"quality":"neutral"},{"name":"Labha","start":"15:13","end":"16:37","startHours":15.213445649769866,"endHours":16.609309279015942,"quality":"auspicious"},{"name":"Amṛta","start":"16:37","end":"18:00","startHours":16.609309279015942,"endHours":18.00517290826202,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:00","end":"19:37","startHours":18.00517290826202,"endHours":19.609309279015942,"quality":"neutral"},{"name":"Labha","start":"19:37","end":"21:13","startHours":19.609309279015942,"endHours":21.213445649769866,"quality":"auspicious"},{"name":"Amṛta","start":"21:13","end":"22:49","startHours":21.213445649769866,"endHours":22.817582020523787,"quality":"auspicious"},{"name":"Kāla","start":"22:49","end":"00:25","startHours":22.817582020523787,"endHours":24.421718391277714,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"02:02","startHours":24.421718391277714,"endHours":26.025854762031635,"quality":"auspicious"},{"name":"Roga","start":"02:02","end":"03:38","startHours":26.025854762031635,"endHours":27.62999113278556,"quality":"inauspicious"},{"name":"Udveg","start":"03:38","end":"05:14","startHours":27.62999113278556,"endHours":29.234127503539483,"quality":"inauspicious"},{"name":"Chala","start":"05:14","end":"06:50","startHours":29.234127503539483,"endHours":30.838263874293407,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:50","end":"07:50","startHours":6.838263874293407,"endHours":7.838263874293407,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:50","end":"08:50","startHours":7.838263874293407,"endHours":8.838263874293407,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:50","end":"09:50","startHours":8.838263874293407,"endHours":9.838263874293407,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:50","end":"10:50","startHours":9.838263874293407,"endHours":10.838263874293407,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:50","end":"11:50","startHours":10.838263874293407,"endHours":11.838263874293407,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:50","end":"12:50","startHours":11.838263874293407,"endHours":12.838263874293407,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:50","end":"13:50","startHours":12.838263874293407,"endHours":13.838263874293407,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:50","end":"14:50","startHours":13.838263874293407,"endHours":14.838263874293407,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:50","end":"15:50","startHours":14.838263874293407,"endHours":15.838263874293407,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:50","end":"16:50","startHours":15.838263874293407,"endHours":16.838263874293407,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:50","end":"17:50","startHours":16.838263874293407,"endHours":17.838263874293407,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:50","end":"18:50","startHours":17.838263874293407,"endHours":18.838263874293407,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:50","end":"19:50","startHours":18.838263874293407,"endHours":19.838263874293407,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:50","end":"20:50","startHours":19.838263874293407,"endHours":20.838263874293407,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:50","end":"21:50","startHours":20.838263874293407,"endHours":21.838263874293407,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:50","end":"22:50","startHours":21.838263874293407,"endHours":22.838263874293407,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:50","end":"23:50","startHours":22.838263874293407,"endHours":23.838263874293407,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:50","end":"00:50","startHours":23.838263874293407,"endHours":24.838263874293407,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:50","end":"01:50","startHours":24.838263874293407,"endHours":25.838263874293407,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:50","end":"02:50","startHours":25.838263874293407,"endHours":26.838263874293407,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:50","end":"03:50","startHours":26.838263874293407,"endHours":27.838263874293407,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:50","end":"04:50","startHours":27.838263874293407,"endHours":28.838263874293407,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:50","end":"05:50","startHours":28.838263874293407,"endHours":29.838263874293407,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:50","end":"06:50","startHours":29.838263874293407,"endHours":30.838263874293407,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.658552738969814,"eotMinutes":7.723696523337262,"ayanamsa":24.5366}},"calendars":{"vikram_samvat":2105,"vikram_samvatsara":"Vṛṣa","saka_samvat":1970,"saka_samvatsara":"Vibhava","bengali_samvat":1455,"malayalam_era":1224,"nanakshahi_year":579,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Dvitīyā · Vikram 2105 Vṛṣa · Śaka 1970 Vibhava"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"kolhapur"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 7, 2048 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 7, 2048 CE for Kolhāpur, Maharashtra: Śukla Dvitīyā, sūryodaya 06:50, sūryāsta 18:00.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2048-12-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2048-12-07","sa":"https://sa.vidhyamitra.com/city/kolhapur/2048-12-07","hi":"https://hi.vidhyamitra.com/city/kolhapur/2048-12-07","x-default":"https://vidhyamitra.com/city/kolhapur/2048-12-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-03T17:05:25.900Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-09-03T17:05:25.900Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-03T17:05:25.900Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}