{"id":"vidhyamitra:city-day:vrindavan:2101-01-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2101-01-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-01-09","date_display":"January 9, 2101 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":2101,"month":1,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488442.770833,"kali_year":5202,"ahargana":1899977.2708,"sun":{"sidereal_longitude":262.8848,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":10.2257,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":107.3409,"elapsed_within_tithi_degrees":11.3409},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":10.2257,"elapsed_within_degrees":10.2257},"yoga":{"number":21,"name":"Siddha","sum_longitude":273.1105},"karana":{"half_tithi_index":17,"name":"Kaulava"},"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":2101,"month":1,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488442.770833,"ahargana":1899977.2708,"kali_year":5202,"ayanamsa_lahiri":25.2642,"grahas":{"sun":{"sidereal_longitude":263.29964399999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":12.143643999999995,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false,"latitude":3.9026},"mars":{"sidereal_longitude":233.06584399999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":281.054944,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":202.06244400000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":249.257344,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":190.948444,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":310.0609,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":130.0609,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2101,"month":1,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488442.770833,"kali_year":5202,"ahargana":1899977.2708,"sun":{"sidereal_longitude":262.8848,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":10.2257,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":107.3409,"elapsed_within_tithi_degrees":11.3409},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":10.2257,"elapsed_within_degrees":10.2257},"yoga":{"number":21,"name":"Siddha","sum_longitude":273.1105},"karana":{"half_tithi_index":17,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.903,"elongation":107.341},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.903,"opposition_distance":72.659}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:11","sunsetLocal":"17:42","solarNoonLocal":"12:26","dayLengthHours":10.502306019635283,"dayLengthDisplay":"10 Hours 30 Mins 08 Secs","nightLengthDisplay":"13 Hours 29 Mins 52 Secs","moonriseLocal":"13:09","moonsetLocal":"02:14","rahuKala":{"name":"Rāhu Kāla","start":"16:23","end":"17:42","startHours":16.379482929336206,"endHours":17.692271181790616,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:26","end":"13:45","startHours":12.441118171972974,"endHours":13.753906424427385,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:04","end":"16:23","startHours":15.066694676881795,"endHours":16.379482929336206,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.640503233403566,"endHours":9.990580100724742,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:54","startHours":7.627561246306803,"endHours":7.9076227401637444,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:47","startHours":12.0910413046518,"endHours":12.791195039294152,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.789657692870629,"endHours":6.489811427512981,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.314772993852394,"endHours":7.1899651621553335,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:11","end":"14:53","startHours":14.191502508578855,"endHours":14.891656243221208,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:30","end":"17:54","startHours":17.492271181790617,"endHours":17.892271181790615,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:42","end":"18:08","startHours":17.692271181790616,"endHours":18.129867265942085,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:27","end":"19:12","startHours":17.442271181790616,"endHours":19.192271181790616,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:47","startHours":24.0910413046518,"endHours":24.79119503929415,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:11","end":"08:30","startHours":7.1899651621553335,"endHours":8.502753414609744,"quality":"inauspicious"},{"name":"Chala","start":"08:30","end":"09:49","startHours":8.502753414609744,"endHours":9.815541667064155,"quality":"neutral"},{"name":"Labha","start":"09:49","end":"11:08","startHours":9.815541667064155,"endHours":11.128329919518563,"quality":"auspicious"},{"name":"Amṛta","start":"11:08","end":"12:26","startHours":11.128329919518563,"endHours":12.441118171972974,"quality":"auspicious"},{"name":"Kāla","start":"12:26","end":"13:45","startHours":12.441118171972974,"endHours":13.753906424427385,"quality":"inauspicious"},{"name":"Śubha","start":"13:45","end":"15:04","startHours":13.753906424427385,"endHours":15.066694676881795,"quality":"auspicious"},{"name":"Roga","start":"15:04","end":"16:23","startHours":15.066694676881795,"endHours":16.379482929336206,"quality":"inauspicious"},{"name":"Udveg","start":"16:23","end":"17:42","startHours":16.379482929336206,"endHours":17.692271181790616,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:42","end":"19:23","startHours":17.692271181790616,"endHours":19.379482929336206,"quality":"auspicious"},{"name":"Roga","start":"19:23","end":"21:04","startHours":19.379482929336206,"endHours":21.066694676881795,"quality":"inauspicious"},{"name":"Udveg","start":"21:04","end":"22:45","startHours":21.066694676881795,"endHours":22.753906424427385,"quality":"inauspicious"},{"name":"Chala","start":"22:45","end":"00:26","startHours":22.753906424427385,"endHours":24.441118171972974,"quality":"neutral"},{"name":"Labha","start":"00:26","end":"02:08","startHours":24.441118171972974,"endHours":26.128329919518563,"quality":"auspicious"},{"name":"Amṛta","start":"02:08","end":"03:49","startHours":26.128329919518563,"endHours":27.815541667064153,"quality":"auspicious"},{"name":"Kāla","start":"03:49","end":"05:30","startHours":27.815541667064153,"endHours":29.502753414609742,"quality":"inauspicious"},{"name":"Śubha","start":"05:30","end":"07:11","startHours":29.502753414609742,"endHours":31.18996516215533,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.1899651621553335,"endHours":8.189965162155334,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.189965162155334,"endHours":9.189965162155334,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.189965162155334,"endHours":10.189965162155334,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.189965162155334,"endHours":11.189965162155334,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.189965162155334,"endHours":12.189965162155334,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.189965162155334,"endHours":13.189965162155334,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.189965162155334,"endHours":14.189965162155334,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.189965162155334,"endHours":15.189965162155334,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.189965162155334,"endHours":16.18996516215533,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.18996516215533,"endHours":17.18996516215533,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.18996516215533,"endHours":18.18996516215533,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.18996516215533,"endHours":19.18996516215533,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.18996516215533,"endHours":20.18996516215533,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.18996516215533,"endHours":21.18996516215533,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.18996516215533,"endHours":22.18996516215533,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.18996516215533,"endHours":23.18996516215533,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.18996516215533,"endHours":24.18996516215533,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.18996516215533,"endHours":25.18996516215533,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.18996516215533,"endHours":26.18996516215533,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.18996516215533,"endHours":27.18996516215533,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.18996516215533,"endHours":28.18996516215533,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.18996516215533,"endHours":29.18996516215533,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.18996516215533,"endHours":30.18996516215533,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.18996516215533,"endHours":31.18996516215533,"planetary_lord":"Jupiter"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.150344747332326,"eotMinutes":-7.10429031837854,"ayanamsa":25.2642}},"calendars":{"vikram_samvat":2158,"vikram_samvatsara":"Bhāva","saka_samvat":2023,"saka_samvatsara":"Durmati","bengali_samvat":1508,"malayalam_era":1277,"nanakshahi_year":632,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","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 Śukla Navamī · Vikram 2158 Bhāva · Śaka 2023 Durmati"},"festivals":[],"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":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5},{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 9, 2101 CE · Vṛndāvana · Vidhyamitra","description":"January 9, 2101 CE for Vṛndāvana: Śukla Navamī, sūryodaya 07:11, sūryāsta 17:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2101-01-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2101-01-09","sa":"https://sa.vidhyamitra.com/city/vrindavan/2101-01-09","hi":"https://hi.vidhyamitra.com/city/vrindavan/2101-01-09","x-default":"https://vidhyamitra.com/city/vrindavan/2101-01-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T10:22:32.858Z","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":"2026-06-02T10:22:32.858Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T10:22:32.858Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}