{"id":"vidhyamitra:city-day:kolhapur:2049-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2049-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2049-12-20","date_display":"December 20, 2049 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":2049,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469795.770833,"kali_year":5151,"ahargana":1881330.2708,"sun":{"sidereal_longitude":243.5582,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":184.6431,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":301.085,"elapsed_within_tithi_degrees":1.085},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.6431,"elapsed_within_degrees":11.3098},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":68.2013},"karana":{"half_tithi_index":50,"name":"Bava"},"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":2049,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469795.770833,"ahargana":1881330.2708,"kali_year":5151,"ayanamsa_lahiri":24.551,"grahas":{"sun":{"sidereal_longitude":244.02099700000008,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":183.460597,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-2.4771},"mars":{"sidereal_longitude":194.82279700000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":258.041197,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":97.76999699999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":true},"venus":{"sidereal_longitude":240.97849700000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":270.957397,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":218.0687,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":38.0687,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"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":2049,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469795.770833,"kali_year":5151,"ahargana":1881330.2708,"sun":{"sidereal_longitude":243.5582,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":184.6431,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":301.085,"elapsed_within_tithi_degrees":1.085},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.6431,"elapsed_within_degrees":11.3098},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":68.2013},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.477,"elongation":58.915},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.477,"opposition_distance":121.085}},"eclipse_window_40days":[{"offset_days":-11,"type":"lunar","occurs":true,"moon_latitude":-0.948,"opposition_distance":1.447}]},"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":"06:57","sunsetLocal":"18:05","solarNoonLocal":"12:31","dayLengthHours":11.131008850733132,"dayLengthDisplay":"11 Hours 07 Mins 52 Secs","nightLengthDisplay":"12 Hours 52 Mins 08 Secs","moonriseLocal":"02:40","moonsetLocal":"14:18","rahuKala":{"name":"Rāhu Kāla","start":"08:21","end":"09:44","startHours":8.345453055600597,"endHours":9.736829161942238,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:08","end":"12:31","startHours":11.128205268283878,"endHours":12.51958137462552,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:55","end":"15:18","startHours":13.910957480967163,"endHours":15.302333587308803,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:55","startHours":9.551312347763352,"endHours":9.922345976121123,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:25","end":"07:43","startHours":7.4178689847061685,"endHours":7.714695887392385,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:53","startHours":12.148547746267749,"endHours":12.890615002983292,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:28","end":"06:13","startHours":5.46994243582787,"endHours":6.212009692543413,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:02","end":"06:57","startHours":6.026492878364527,"endHours":6.954076949258955,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:07","startHours":14.374749516414376,"endHours":15.116816773129917,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.885085799992087,"endHours":18.285085799992085,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:33","startHours":18.085085799992086,"endHours":18.5488778354393,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.835085799992086,"endHours":19.585085799992086,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:53","startHours":24.14854774626775,"endHours":24.890615002983292,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:57","end":"08:21","startHours":6.954076949258955,"endHours":8.345453055600597,"quality":"auspicious"},{"name":"Kāla","start":"08:21","end":"09:44","startHours":8.345453055600597,"endHours":9.736829161942238,"quality":"inauspicious"},{"name":"Śubha","start":"09:44","end":"11:08","startHours":9.736829161942238,"endHours":11.128205268283878,"quality":"auspicious"},{"name":"Roga","start":"11:08","end":"12:31","startHours":11.128205268283878,"endHours":12.51958137462552,"quality":"inauspicious"},{"name":"Udveg","start":"12:31","end":"13:55","startHours":12.51958137462552,"endHours":13.910957480967163,"quality":"inauspicious"},{"name":"Chala","start":"13:55","end":"15:18","startHours":13.910957480967163,"endHours":15.302333587308803,"quality":"neutral"},{"name":"Labha","start":"15:18","end":"16:42","startHours":15.302333587308803,"endHours":16.693709693650444,"quality":"auspicious"},{"name":"Amṛta","start":"16:42","end":"18:05","startHours":16.693709693650444,"endHours":18.085085799992086,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:05","end":"19:42","startHours":18.085085799992086,"endHours":19.693709693650444,"quality":"neutral"},{"name":"Labha","start":"19:42","end":"21:18","startHours":19.693709693650444,"endHours":21.3023335873088,"quality":"auspicious"},{"name":"Amṛta","start":"21:18","end":"22:55","startHours":21.3023335873088,"endHours":22.910957480967163,"quality":"auspicious"},{"name":"Kāla","start":"22:55","end":"00:31","startHours":22.910957480967163,"endHours":24.51958137462552,"quality":"inauspicious"},{"name":"Śubha","start":"00:31","end":"02:08","startHours":24.51958137462552,"endHours":26.128205268283878,"quality":"auspicious"},{"name":"Roga","start":"02:08","end":"03:44","startHours":26.128205268283878,"endHours":27.73682916194224,"quality":"inauspicious"},{"name":"Udveg","start":"03:44","end":"05:21","startHours":27.73682916194224,"endHours":29.345453055600597,"quality":"inauspicious"},{"name":"Chala","start":"05:21","end":"06:57","startHours":29.345453055600597,"endHours":30.954076949258955,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:57","end":"07:57","startHours":6.954076949258955,"endHours":7.954076949258955,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:57","end":"08:57","startHours":7.954076949258955,"endHours":8.954076949258955,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:57","end":"09:57","startHours":8.954076949258955,"endHours":9.954076949258955,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:57","end":"10:57","startHours":9.954076949258955,"endHours":10.954076949258955,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:57","end":"11:57","startHours":10.954076949258955,"endHours":11.954076949258955,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:57","end":"12:57","startHours":11.954076949258955,"endHours":12.954076949258955,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:57","end":"13:57","startHours":12.954076949258955,"endHours":13.954076949258955,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:57","end":"14:57","startHours":13.954076949258955,"endHours":14.954076949258955,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:57","end":"15:57","startHours":14.954076949258955,"endHours":15.954076949258955,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:57","end":"16:57","startHours":15.954076949258955,"endHours":16.954076949258955,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:57","end":"17:57","startHours":16.954076949258955,"endHours":17.954076949258955,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:57","end":"18:57","startHours":17.954076949258955,"endHours":18.954076949258955,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:57","end":"19:57","startHours":18.954076949258955,"endHours":19.954076949258955,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:57","end":"20:57","startHours":19.954076949258955,"endHours":20.954076949258955,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:57","end":"21:57","startHours":20.954076949258955,"endHours":21.954076949258955,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:57","end":"22:57","startHours":21.954076949258955,"endHours":22.954076949258955,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:57","end":"23:57","startHours":22.954076949258955,"endHours":23.954076949258955,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:57","end":"00:57","startHours":23.954076949258955,"endHours":24.954076949258955,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:57","end":"01:57","startHours":24.954076949258955,"endHours":25.954076949258955,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:57","end":"02:57","startHours":25.954076949258955,"endHours":26.954076949258955,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:57","end":"03:57","startHours":26.954076949258955,"endHours":27.954076949258955,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:57","end":"04:57","startHours":27.954076949258955,"endHours":28.954076949258955,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:57","end":"05:57","startHours":28.954076949258955,"endHours":29.954076949258955,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:57","end":"06:57","startHours":29.954076949258955,"endHours":30.954076949258955,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.42878644211304,"eotMinutes":1.851917522468745,"ayanamsa":24.551}},"calendars":{"vikram_samvat":2106,"vikram_samvatsara":"Citrabhānu","saka_samvat":1971,"saka_samvatsara":"Śukla","bengali_samvat":1456,"malayalam_era":1225,"nanakshahi_year":580,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Ekādaśī · Vikram 2106 Citrabhānu · Śaka 1971 Śukla"},"festivals":[{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":"Dedicated festival walk for Ekādaśī is not live yet; 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 20, 2049 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 20, 2049 CE for Kolhāpur, Maharashtra: Kṛṣṇa Ekādaśī, sūryodaya 06:57, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2049-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2049-12-20","sa":"https://sa.vidhyamitra.com/city/kolhapur/2049-12-20","hi":"https://hi.vidhyamitra.com/city/kolhapur/2049-12-20","x-default":"https://vidhyamitra.com/city/kolhapur/2049-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-03T15:52:51.580Z","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":"2026-09-03T15:52:51.580Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-03T15:52:51.580Z","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"}}}