{"id":"vidhyamitra:city-day:kolhapur:2133-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2133-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2133-12-20","date_display":"December 20, 2133 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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2133,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2500475.770833,"kali_year":5235,"ahargana":1912010.2708,"sun":{"sidereal_longitude":241.7762,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":163.7705,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":281.9943,"elapsed_within_tithi_degrees":5.9943},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":163.7705,"elapsed_within_degrees":3.7705},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.5467},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2133,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2500475.770833,"ahargana":1912010.2708,"kali_year":5235,"ayanamsa_lahiri":25.7244,"grahas":{"sun":{"sidereal_longitude":242.452895,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":166.79799500000001,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false,"latitude":3.3804},"mars":{"sidereal_longitude":62.21159499999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":253.76219500000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":127.97769500000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":219.634095,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":226.46479499999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":32.4946,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":212.4946,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2133,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2500475.770833,"kali_year":5235,"ahargana":1912010.2708,"sun":{"sidereal_longitude":241.7762,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":163.7705,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":281.9943,"elapsed_within_tithi_degrees":5.9943},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":163.7705,"elapsed_within_degrees":3.7705},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.5467},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.38,"elongation":78.006},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.38,"opposition_distance":101.994}},"eclipse_window_40days":[]},"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":11.131236317617498,"dayLengthDisplay":"11 Hours 07 Mins 52 Secs","nightLengthDisplay":"12 Hours 52 Mins 08 Secs","moonriseLocal":"01:32","moonsetLocal":"13:25","rahuKala":{"name":"Rāhu Kāla","start":"16:42","end":"18:05","startHours":16.693794993732084,"endHours":18.08519953343427,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:31","end":"13:55","startHours":12.51958137462552,"endHours":13.910985914327709,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:18","end":"16:42","startHours":15.302390454029895,"endHours":16.693794993732084,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:55","startHours":9.551251689927522,"endHours":9.922292900514773,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:25","end":"07:43","startHours":7.417764729050835,"endHours":7.7145976975206345,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:53","startHours":12.14854016403827,"endHours":12.890622585212771,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:28","end":"06:13","startHours":5.469798373467773,"endHours":6.211880794642273,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:02","end":"06:57","startHours":6.026360189348647,"endHours":6.953963215816772,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:07","startHours":14.37478742756177,"endHours":15.11686984873627,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.88519953343427,"endHours":18.28519953343427,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:33","startHours":18.08519953343427,"endHours":18.549001046668334,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.83519953343427,"endHours":19.58519953343427,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:53","startHours":24.14854016403827,"endHours":24.89062258521277,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:57","end":"08:21","startHours":6.953963215816772,"endHours":8.345367755518959,"quality":"inauspicious"},{"name":"Chala","start":"08:21","end":"09:44","startHours":8.345367755518959,"endHours":9.736772295221147,"quality":"neutral"},{"name":"Labha","start":"09:44","end":"11:08","startHours":9.736772295221147,"endHours":11.128176834923334,"quality":"auspicious"},{"name":"Amṛta","start":"11:08","end":"12:31","startHours":11.128176834923334,"endHours":12.51958137462552,"quality":"auspicious"},{"name":"Kāla","start":"12:31","end":"13:55","startHours":12.51958137462552,"endHours":13.910985914327709,"quality":"inauspicious"},{"name":"Śubha","start":"13:55","end":"15:18","startHours":13.910985914327709,"endHours":15.302390454029895,"quality":"auspicious"},{"name":"Roga","start":"15:18","end":"16:42","startHours":15.302390454029895,"endHours":16.693794993732084,"quality":"inauspicious"},{"name":"Udveg","start":"16:42","end":"18:05","startHours":16.693794993732084,"endHours":18.08519953343427,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:05","end":"19:42","startHours":18.08519953343427,"endHours":19.693794993732084,"quality":"auspicious"},{"name":"Roga","start":"19:42","end":"21:18","startHours":19.693794993732084,"endHours":21.302390454029897,"quality":"inauspicious"},{"name":"Udveg","start":"21:18","end":"22:55","startHours":21.302390454029897,"endHours":22.91098591432771,"quality":"inauspicious"},{"name":"Chala","start":"22:55","end":"00:31","startHours":22.91098591432771,"endHours":24.51958137462552,"quality":"neutral"},{"name":"Labha","start":"00:31","end":"02:08","startHours":24.51958137462552,"endHours":26.128176834923334,"quality":"auspicious"},{"name":"Amṛta","start":"02:08","end":"03:44","startHours":26.128176834923334,"endHours":27.736772295221147,"quality":"auspicious"},{"name":"Kāla","start":"03:44","end":"05:21","startHours":27.736772295221147,"endHours":29.345367755518957,"quality":"inauspicious"},{"name":"Śubha","start":"05:21","end":"06:57","startHours":29.345367755518957,"endHours":30.95396321581677,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:57","end":"07:57","startHours":6.953963215816772,"endHours":7.953963215816772,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:57","end":"08:57","startHours":7.953963215816772,"endHours":8.953963215816772,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:57","end":"09:57","startHours":8.953963215816772,"endHours":9.953963215816772,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:57","end":"10:57","startHours":9.953963215816772,"endHours":10.953963215816772,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:57","end":"11:57","startHours":10.953963215816772,"endHours":11.953963215816772,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:57","end":"12:57","startHours":11.953963215816772,"endHours":12.953963215816772,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:57","end":"13:57","startHours":12.953963215816772,"endHours":13.953963215816772,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:57","end":"14:57","startHours":13.953963215816772,"endHours":14.953963215816772,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:57","end":"15:57","startHours":14.953963215816772,"endHours":15.953963215816772,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:57","end":"16:57","startHours":15.953963215816772,"endHours":16.95396321581677,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:57","end":"17:57","startHours":16.95396321581677,"endHours":17.95396321581677,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:57","end":"18:57","startHours":17.95396321581677,"endHours":18.95396321581677,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:57","end":"19:57","startHours":18.95396321581677,"endHours":19.95396321581677,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:57","end":"20:57","startHours":19.95396321581677,"endHours":20.95396321581677,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:57","end":"21:57","startHours":20.95396321581677,"endHours":21.95396321581677,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:57","end":"22:57","startHours":21.95396321581677,"endHours":22.95396321581677,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:57","end":"23:57","startHours":22.95396321581677,"endHours":23.95396321581677,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:57","end":"00:57","startHours":23.95396321581677,"endHours":24.95396321581677,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:57","end":"01:57","startHours":24.95396321581677,"endHours":25.95396321581677,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:57","end":"02:57","startHours":25.95396321581677,"endHours":26.95396321581677,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:57","end":"03:57","startHours":26.95396321581677,"endHours":27.95396321581677,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:57","end":"04:57","startHours":27.95396321581677,"endHours":28.95396321581677,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:57","end":"05:57","startHours":28.95396321581677,"endHours":29.95396321581677,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:57","end":"06:57","startHours":29.95396321581677,"endHours":30.95396321581677,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.423933707689198,"eotMinutes":1.851917522468745,"ayanamsa":25.7244}},"calendars":{"vikram_samvat":2190,"vikram_samvatsara":"Parābhava","saka_samvat":2055,"saka_samvatsara":"Vijaya","bengali_samvat":1540,"malayalam_era":1309,"nanakshahi_year":664,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Navamī · Vikram 2190 Parābhava · Śaka 2055 Vijaya"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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, 2133 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"December 20, 2133 CE for Kolhāpur, Maharashtra: Kṛṣṇa Navamī, sūryodaya 06:57, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2133-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2133-12-20","sa":"https://sa.vidhyamitra.com/city/kolhapur/2133-12-20","hi":"https://hi.vidhyamitra.com/city/kolhapur/2133-12-20","x-default":"https://vidhyamitra.com/city/kolhapur/2133-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-24T14:41:20.904Z","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":"2026-05-24T14:41:20.904Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-24T14:41:20.904Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}