{"id":"vidhyamitra:city-day:vrindavan:2101-01-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2101-01-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2101-01-18","date_display":"January 18, 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":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488451.770833,"kali_year":5202,"ahargana":1899986.2708,"sun":{"sidereal_longitude":272.1308,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":123.201,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.0701,"elapsed_within_tithi_degrees":7.0701},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":123.201,"elapsed_within_degrees":3.201},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.3318},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488451.770833,"ahargana":1899986.2708,"kali_year":5202,"ayanamsa_lahiri":25.2645,"grahas":{"sun":{"sidereal_longitude":272.46799999999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":123.12009999999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":0.4998},"mars":{"sidereal_longitude":239.53600000000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":281.7059999999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":203.39,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":260.5612,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":191.45309999999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":309.584,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":129.584,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"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":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488451.770833,"kali_year":5202,"ahargana":1899986.2708,"sun":{"sidereal_longitude":272.1308,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":123.201,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.0701,"elapsed_within_tithi_degrees":7.0701},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":123.201,"elapsed_within_degrees":3.201},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":35.3318},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.5,"elongation":148.93},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.5,"opposition_distance":31.07}},"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":"17:49","solarNoonLocal":"12:30","dayLengthHours":10.626539391953564,"dayLengthDisplay":"10 Hours 37 Mins 36 Secs","nightLengthDisplay":"13 Hours 22 Mins 24 Secs","moonriseLocal":"20:04","moonsetLocal":"09:01","rahuKala":{"name":"Rāhu Kāla","start":"15:09","end":"16:29","startHours":15.15183534101655,"endHours":16.480152765010747,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:50","end":"11:10","startHours":9.838565645039768,"endHours":11.166883069033965,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:30","end":"13:49","startHours":12.495200493028161,"endHours":13.823517917022356,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.661456655173875,"endHours":10.015674634905661,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.62470327171611,"endHours":7.908077655501539,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:51","startHours":12.140982513296375,"endHours":12.849418472759947,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.765058878124236,"endHours":6.473494837587808,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.296385847721915,"endHours":7.181930797051378,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"14:58","startHours":14.266290391687088,"endHours":14.97472635115066,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:37","end":"18:01","startHours":17.608470189004944,"endHours":18.008470189004942,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:49","end":"18:15","startHours":17.808470189004943,"endHours":18.251242663669675,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:34","end":"19:19","startHours":17.558470189004943,"endHours":19.308470189004943,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:51","startHours":24.140982513296375,"endHours":24.849418472759947,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:11","end":"08:31","startHours":7.181930797051378,"endHours":8.510248221045574,"quality":"inauspicious"},{"name":"Udveg","start":"08:31","end":"09:50","startHours":8.510248221045574,"endHours":9.838565645039768,"quality":"inauspicious"},{"name":"Chala","start":"09:50","end":"11:10","startHours":9.838565645039768,"endHours":11.166883069033965,"quality":"neutral"},{"name":"Labha","start":"11:10","end":"12:30","startHours":11.166883069033965,"endHours":12.495200493028161,"quality":"auspicious"},{"name":"Amṛta","start":"12:30","end":"13:49","startHours":12.495200493028161,"endHours":13.823517917022356,"quality":"auspicious"},{"name":"Kāla","start":"13:49","end":"15:09","startHours":13.823517917022356,"endHours":15.15183534101655,"quality":"inauspicious"},{"name":"Śubha","start":"15:09","end":"16:29","startHours":15.15183534101655,"endHours":16.480152765010747,"quality":"auspicious"},{"name":"Roga","start":"16:29","end":"17:49","startHours":16.480152765010747,"endHours":17.808470189004943,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:49","end":"19:29","startHours":17.808470189004943,"endHours":19.480152765010747,"quality":"inauspicious"},{"name":"Śubha","start":"19:29","end":"21:09","startHours":19.480152765010747,"endHours":21.15183534101655,"quality":"auspicious"},{"name":"Roga","start":"21:09","end":"22:49","startHours":21.15183534101655,"endHours":22.823517917022357,"quality":"inauspicious"},{"name":"Udveg","start":"22:49","end":"00:30","startHours":22.823517917022357,"endHours":24.49520049302816,"quality":"inauspicious"},{"name":"Chala","start":"00:30","end":"02:10","startHours":24.49520049302816,"endHours":26.166883069033965,"quality":"neutral"},{"name":"Labha","start":"02:10","end":"03:50","startHours":26.166883069033965,"endHours":27.838565645039772,"quality":"auspicious"},{"name":"Amṛta","start":"03:50","end":"05:31","startHours":27.838565645039772,"endHours":29.510248221045575,"quality":"auspicious"},{"name":"Kāla","start":"05:31","end":"07:11","startHours":29.510248221045575,"endHours":31.18193079705138,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.181930797051378,"endHours":8.181930797051379,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.181930797051379,"endHours":9.181930797051379,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.181930797051379,"endHours":10.181930797051379,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.181930797051379,"endHours":11.181930797051379,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.181930797051379,"endHours":12.181930797051379,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.181930797051379,"endHours":13.181930797051379,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.181930797051379,"endHours":14.181930797051379,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.181930797051379,"endHours":15.181930797051379,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.181930797051379,"endHours":16.18193079705138,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.18193079705138,"endHours":17.18193079705138,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.18193079705138,"endHours":18.18193079705138,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.18193079705138,"endHours":19.18193079705138,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.18193079705138,"endHours":20.18193079705138,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.18193079705138,"endHours":21.18193079705138,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.18193079705138,"endHours":22.18193079705138,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.18193079705138,"endHours":23.18193079705138,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.18193079705138,"endHours":24.18193079705138,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.18193079705138,"endHours":25.18193079705138,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.18193079705138,"endHours":26.18193079705138,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.18193079705138,"endHours":27.18193079705138,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.18193079705138,"endHours":28.18193079705138,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.18193079705138,"endHours":29.18193079705138,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.18193079705138,"endHours":30.18193079705138,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.18193079705138,"endHours":31.18193079705138,"planetary_lord":"Saturn"}],"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","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.612438862541786,"eotMinutes":-10.349229581689698,"ayanamsa":25.2645}},"calendars":{"vikram_samvat":2158,"vikram_samvatsara":"Bhāva","saka_samvat":2023,"saka_samvatsara":"Durmati","bengali_samvat":1508,"malayalam_era":1277,"nanakshahi_year":632,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Tṛtīyā · Vikram 2158 Bhāva · Śaka 2023 Durmati"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 18, 2101 CE · Vṛndāvana · Vidhyamitra","description":"January 18, 2101 CE for Vṛndāvana: Kṛṣṇa Tṛtīyā, sūryodaya 07:11, sūryāsta 17:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2101-01-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2101-01-18","sa":"https://sa.vidhyamitra.com/city/vrindavan/2101-01-18","hi":"https://hi.vidhyamitra.com/city/vrindavan/2101-01-18","x-default":"https://vidhyamitra.com/city/vrindavan/2101-01-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T13:13:34.423Z","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":"2026-05-31T13:13:34.423Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T13:13:34.423Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}