{"id":"vidhyamitra:city-day:vrindavan:2171-01-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2171-01-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2171-01-30","date_display":"January 30, 2171 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":2171,"month":1,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514030.770833,"kali_year":5272,"ahargana":1925565.2708,"sun":{"sidereal_longitude":283.2923,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":208.0695,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":284.7772,"elapsed_within_tithi_degrees":8.7772},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":208.0695,"elapsed_within_degrees":8.0695},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":131.3618},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2171,"month":1,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514030.770833,"ahargana":1925565.2708,"kali_year":5272,"ayanamsa_lahiri":26.2428,"grahas":{"sun":{"sidereal_longitude":283.707594,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":209.216594,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false,"latitude":0.4868},"mars":{"sidereal_longitude":300.703494,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":290.36079399999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":170.519094,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"venus":{"sidereal_longitude":243.405894,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":307.65429399999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":34.2855,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":214.2855,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"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":2171,"month":1,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514030.770833,"kali_year":5272,"ahargana":1925565.2708,"sun":{"sidereal_longitude":283.2923,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":208.0695,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":284.7772,"elapsed_within_tithi_degrees":8.7772},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":208.0695,"elapsed_within_degrees":8.0695},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":131.3618},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.487,"elongation":75.223},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.487,"opposition_distance":104.777}},"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":"07:07","sunsetLocal":"17:58","solarNoonLocal":"12:33","dayLengthHours":10.850517194201053,"dayLengthDisplay":"10 Hours 51 Mins 02 Secs","nightLengthDisplay":"13 Hours 08 Mins 58 Secs","moonriseLocal":"02:14","moonsetLocal":"12:56","rahuKala":{"name":"Rāhu Kāla","start":"12:33","end":"13:54","startHours":12.54533243292941,"endHours":13.901647082204542,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:29","end":"09:50","startHours":8.476388485104016,"endHours":9.832703134379148,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:11","end":"12:33","startHours":11.189017783654279,"endHours":12.54533243292941,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.651861181142463,"endHours":10.013545087615832,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:52","startHours":7.572178718920594,"endHours":7.861525844099289,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:54","startHours":12.183648526456041,"endHours":12.907016339402778,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:40","end":"06:24","startHours":5.673338209935411,"endHours":6.396706022882147,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:07","startHours":6.215864069645463,"endHours":7.120073835828884,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:05","startHours":14.353751965296254,"endHours":15.077119778242992,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:46","end":"18:10","startHours":17.770591030029937,"endHours":18.170591030029936,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:58","end":"18:25","startHours":17.970591030029937,"endHours":18.422695913121647,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:43","end":"19:28","startHours":17.720591030029937,"endHours":19.470591030029937,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:54","startHours":24.183648526456043,"endHours":24.907016339402777,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:07","end":"08:29","startHours":7.120073835828884,"endHours":8.476388485104016,"quality":"auspicious"},{"name":"Amṛta","start":"08:29","end":"09:50","startHours":8.476388485104016,"endHours":9.832703134379148,"quality":"auspicious"},{"name":"Kāla","start":"09:50","end":"11:11","startHours":9.832703134379148,"endHours":11.189017783654279,"quality":"inauspicious"},{"name":"Śubha","start":"11:11","end":"12:33","startHours":11.189017783654279,"endHours":12.54533243292941,"quality":"auspicious"},{"name":"Roga","start":"12:33","end":"13:54","startHours":12.54533243292941,"endHours":13.901647082204542,"quality":"inauspicious"},{"name":"Udveg","start":"13:54","end":"15:15","startHours":13.901647082204542,"endHours":15.257961731479675,"quality":"inauspicious"},{"name":"Chala","start":"15:15","end":"16:37","startHours":15.257961731479675,"endHours":16.614276380754806,"quality":"neutral"},{"name":"Labha","start":"16:37","end":"17:58","startHours":16.614276380754806,"endHours":17.970591030029937,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:58","end":"19:37","startHours":17.970591030029937,"endHours":19.614276380754806,"quality":"inauspicious"},{"name":"Chala","start":"19:37","end":"21:15","startHours":19.614276380754806,"endHours":21.257961731479675,"quality":"neutral"},{"name":"Labha","start":"21:15","end":"22:54","startHours":21.257961731479675,"endHours":22.90164708220454,"quality":"auspicious"},{"name":"Amṛta","start":"22:54","end":"00:33","startHours":22.90164708220454,"endHours":24.54533243292941,"quality":"auspicious"},{"name":"Kāla","start":"00:33","end":"02:11","startHours":24.54533243292941,"endHours":26.18901778365428,"quality":"inauspicious"},{"name":"Śubha","start":"02:11","end":"03:50","startHours":26.18901778365428,"endHours":27.832703134379145,"quality":"auspicious"},{"name":"Roga","start":"03:50","end":"05:29","startHours":27.832703134379145,"endHours":29.476388485104014,"quality":"inauspicious"},{"name":"Udveg","start":"05:29","end":"07:07","startHours":29.476388485104014,"endHours":31.120073835828883,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.120073835828884,"endHours":8.120073835828883,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.120073835828883,"endHours":9.120073835828883,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.120073835828883,"endHours":10.120073835828883,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.120073835828883,"endHours":11.120073835828883,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.120073835828883,"endHours":12.120073835828883,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.120073835828883,"endHours":13.120073835828883,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.120073835828883,"endHours":14.120073835828883,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.120073835828883,"endHours":15.120073835828883,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.120073835828883,"endHours":16.120073835828883,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.120073835828883,"endHours":17.120073835828883,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.120073835828883,"endHours":18.120073835828883,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.120073835828883,"endHours":19.120073835828883,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.120073835828883,"endHours":20.120073835828883,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.120073835828883,"endHours":21.120073835828883,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.120073835828883,"endHours":22.120073835828883,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.120073835828883,"endHours":23.120073835828883,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.120073835828883,"endHours":24.120073835828883,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.120073835828883,"endHours":25.120073835828883,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.120073835828883,"endHours":26.120073835828883,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.120073835828883,"endHours":27.120073835828883,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.120073835828883,"endHours":28.120073835828883,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.120073835828883,"endHours":29.120073835828883,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.120073835828883,"endHours":30.120073835828883,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.120073835828883,"endHours":31.120073835828883,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-17.75226644888041,"eotMinutes":-13.357145975764517,"ayanamsa":26.2428}},"calendars":{"vikram_samvat":2228,"vikram_samvatsara":"Tāraṇa","saka_samvat":2093,"saka_samvatsara":"Prajāpati","bengali_samvat":1578,"malayalam_era":1347,"nanakshahi_year":702,"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 Navamī · Vikram 2228 Tāraṇa · Śaka 2093 Prajāpati"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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 30, 2171 CE · Vṛndāvana · Vidhyamitra","description":"January 30, 2171 CE for Vṛndāvana: Kṛṣṇa Navamī, sūryodaya 07:07, sūryāsta 17:58.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2171-01-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2171-01-30","sa":"https://sa.vidhyamitra.com/city/vrindavan/2171-01-30","hi":"https://hi.vidhyamitra.com/city/vrindavan/2171-01-30","x-default":"https://vidhyamitra.com/city/vrindavan/2171-01-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T13:30:41.198Z","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":"2026-06-01T13:30:41.198Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T13:30:41.198Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}