{"id":"vidhyamitra:city-day:vrindavan:2165-01-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2165-01-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-01-15","date_display":"January 15, 2165 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":2165,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511824.770833,"kali_year":5266,"ahargana":1923359.2708,"sun":{"sidereal_longitude":268.4745,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":298.5149,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":30.0403,"elapsed_within_tithi_degrees":6.0403},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":298.5149,"elapsed_within_degrees":5.1815},"yoga":{"number":16,"name":"Siddhi","sum_longitude":206.9894},"karana":{"half_tithi_index":5,"name":"Gara"},"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":2165,"month":1,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511824.770833,"ahargana":1923359.2708,"kali_year":5266,"ayanamsa_lahiri":26.1585,"grahas":{"sun":{"sidereal_longitude":268.99208,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":301.96118,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":2.4263},"mars":{"sidereal_longitude":242.70507999999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":273.24358000000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":326.3422800000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":260.41208000000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":244.47458000000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":151.17,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":331.17,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2165,"month":1,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511824.770833,"kali_year":5266,"ahargana":1923359.2708,"sun":{"sidereal_longitude":268.4745,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":298.5149,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":30.0403,"elapsed_within_tithi_degrees":6.0403},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":298.5149,"elapsed_within_degrees":5.1815},"yoga":{"number":16,"name":"Siddhi","sum_longitude":206.9894},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.426,"elongation":30.04},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.426,"opposition_distance":149.96}},"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":"17:46","solarNoonLocal":"12:29","dayLengthHours":10.5873259139067,"dayLengthDisplay":"10 Hours 35 Mins 14 Secs","nightLengthDisplay":"13 Hours 24 Mins 46 Secs","moonriseLocal":"09:04","moonsetLocal":"20:18","rahuKala":{"name":"Rāhu Kāla","start":"15:08","end":"16:27","startHours":15.125377302578897,"endHours":16.448793041817233,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:50","end":"11:09","startHours":9.831714345625546,"endHours":11.155130084863885,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:29","end":"13:48","startHours":12.478545824102222,"endHours":13.801961563340559,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.655258913727101,"endHours":10.008169777523992,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.626021446894985,"endHours":7.908350137932497,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:50","startHours":12.125634960305332,"endHours":12.831456687899111,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:29","startHours":5.7732394119613115,"endHours":6.479061139555092,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.302605707656647,"endHours":7.184882867148872,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:15","end":"14:57","startHours":14.243100143086671,"endHours":14.94892187068045,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:34","end":"17:58","startHours":17.572208781055572,"endHours":17.97220878105557,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:46","end":"18:13","startHours":17.77220878105557,"endHours":18.213347360801684,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:31","end":"19:16","startHours":17.52220878105557,"endHours":19.27220878105557,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:50","startHours":24.12563496030533,"endHours":24.83145668789911,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:11","end":"08:30","startHours":7.184882867148872,"endHours":8.508298606387209,"quality":"inauspicious"},{"name":"Udveg","start":"08:30","end":"09:50","startHours":8.508298606387209,"endHours":9.831714345625546,"quality":"inauspicious"},{"name":"Chala","start":"09:50","end":"11:09","startHours":9.831714345625546,"endHours":11.155130084863885,"quality":"neutral"},{"name":"Labha","start":"11:09","end":"12:29","startHours":11.155130084863885,"endHours":12.478545824102222,"quality":"auspicious"},{"name":"Amṛta","start":"12:29","end":"13:48","startHours":12.478545824102222,"endHours":13.801961563340559,"quality":"auspicious"},{"name":"Kāla","start":"13:48","end":"15:08","startHours":13.801961563340559,"endHours":15.125377302578897,"quality":"inauspicious"},{"name":"Śubha","start":"15:08","end":"16:27","startHours":15.125377302578897,"endHours":16.448793041817233,"quality":"auspicious"},{"name":"Roga","start":"16:27","end":"17:46","startHours":16.448793041817233,"endHours":17.77220878105557,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:46","end":"19:27","startHours":17.77220878105557,"endHours":19.448793041817233,"quality":"inauspicious"},{"name":"Śubha","start":"19:27","end":"21:08","startHours":19.448793041817233,"endHours":21.125377302578897,"quality":"auspicious"},{"name":"Roga","start":"21:08","end":"22:48","startHours":21.125377302578897,"endHours":22.80196156334056,"quality":"inauspicious"},{"name":"Udveg","start":"22:48","end":"00:29","startHours":22.80196156334056,"endHours":24.47854582410222,"quality":"inauspicious"},{"name":"Chala","start":"00:29","end":"02:09","startHours":24.47854582410222,"endHours":26.155130084863885,"quality":"neutral"},{"name":"Labha","start":"02:09","end":"03:50","startHours":26.155130084863885,"endHours":27.831714345625546,"quality":"auspicious"},{"name":"Amṛta","start":"03:50","end":"05:30","startHours":27.831714345625546,"endHours":29.508298606387207,"quality":"auspicious"},{"name":"Kāla","start":"05:30","end":"07:11","startHours":29.508298606387207,"endHours":31.184882867148872,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.184882867148872,"endHours":8.184882867148872,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.184882867148872,"endHours":9.184882867148872,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.184882867148872,"endHours":10.184882867148872,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.184882867148872,"endHours":11.184882867148872,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.184882867148872,"endHours":12.184882867148872,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.184882867148872,"endHours":13.184882867148872,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.184882867148872,"endHours":14.184882867148872,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.184882867148872,"endHours":15.184882867148872,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.184882867148872,"endHours":16.184882867148872,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.184882867148872,"endHours":17.184882867148872,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.184882867148872,"endHours":18.184882867148872,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.184882867148872,"endHours":19.184882867148872,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.184882867148872,"endHours":20.184882867148872,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.184882867148872,"endHours":21.184882867148872,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.184882867148872,"endHours":22.184882867148872,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.184882867148872,"endHours":23.184882867148872,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.184882867148872,"endHours":24.184882867148872,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.184882867148872,"endHours":25.184882867148872,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.184882867148872,"endHours":26.184882867148872,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.184882867148872,"endHours":27.184882867148872,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.184882867148872,"endHours":28.184882867148872,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.184882867148872,"endHours":29.184882867148872,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.184882867148872,"endHours":30.184882867148872,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.184882867148872,"endHours":31.184882867148872,"planetary_lord":"Saturn"}],"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","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"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":-21.10173289147293,"eotMinutes":-9.349949446133257,"ayanamsa":26.1585}},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"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 Tṛtīyā · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi_eve_of_ingress":"Makara"},"precedence":4}],"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 15, 2165 CE · Vṛndāvana · Vidhyamitra","description":"January 15, 2165 CE for Vṛndāvana: Śukla Tṛtīyā, sūryodaya 07:11, sūryāsta 17:46.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2165-01-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2165-01-15","sa":"https://sa.vidhyamitra.com/city/vrindavan/2165-01-15","hi":"https://hi.vidhyamitra.com/city/vrindavan/2165-01-15","x-default":"https://vidhyamitra.com/city/vrindavan/2165-01-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T11:52:02.625Z","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":"2026-06-01T11:52:02.625Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T11:52:02.625Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}