{"id":"vidhyamitra:city-day:vrindavan:2171-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2171-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2171-01-31","date_display":"January 31, 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":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514031.770833,"kali_year":5272,"ahargana":1925566.2708,"sun":{"sidereal_longitude":284.3157,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":222.4017,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":298.086,"elapsed_within_tithi_degrees":10.086},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":222.4017,"elapsed_within_degrees":9.0684},"yoga":{"number":12,"name":"Dhruva","sum_longitude":146.7174},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514031.770833,"ahargana":1925566.2708,"kali_year":5272,"ayanamsa_lahiri":26.2429,"grahas":{"sun":{"sidereal_longitude":284.723656,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":223.06235600000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false,"latitude":-0.6388},"mars":{"sidereal_longitude":301.49345600000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":292.0987560000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":170.52945599999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"venus":{"sidereal_longitude":244.61755600000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":307.768856,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":34.2325,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":214.2325,"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":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514031.770833,"kali_year":5272,"ahargana":1925566.2708,"sun":{"sidereal_longitude":284.3157,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":222.4017,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":298.086,"elapsed_within_tithi_degrees":10.086},"nakshatra":{"number":17,"name":"Anurādhā","pada":3,"moon_longitude":222.4017,"elapsed_within_degrees":9.0684},"yoga":{"number":12,"name":"Dhruva","sum_longitude":146.7174},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.639,"elongation":61.914},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.639,"opposition_distance":118.086}},"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":"17:59","solarNoonLocal":"12:33","dayLengthHours":10.871632887434604,"dayLengthDisplay":"10 Hours 52 Mins 18 Secs","nightLengthDisplay":"13 Hours 07 Mins 42 Secs","moonriseLocal":"03:12","moonsetLocal":"13:41","rahuKala":{"name":"Rāhu Kāla","start":"13:54","end":"15:16","startHours":13.907160586626695,"endHours":15.26611469755602,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:07","end":"08:28","startHours":7.112390031980067,"endHours":8.471344142909393,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:50","end":"11:11","startHours":9.830298253838718,"endHours":11.189252364768045,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.649104372381474,"endHours":10.011492135295962,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:51","startHours":7.565374735623175,"endHours":7.8552849459547645,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:55","startHours":12.185818712782881,"endHours":12.910594238611855,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:40","end":"06:23","startHours":5.662838980322119,"endHours":6.387614506151094,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"07:07","startHours":6.20642062469385,"endHours":7.112390031980067,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:05","startHours":14.360145290269802,"endHours":15.084920816098776,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:47","end":"18:11","startHours":17.78402291941467,"endHours":18.18402291941467,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:59","end":"18:26","startHours":17.98402291941467,"endHours":18.437007623057777,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:44","end":"19:29","startHours":17.73402291941467,"endHours":19.48402291941467,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:55","startHours":24.185818712782883,"endHours":24.910594238611857,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:07","end":"08:28","startHours":7.112390031980067,"endHours":8.471344142909393,"quality":"auspicious"},{"name":"Roga","start":"08:28","end":"09:50","startHours":8.471344142909393,"endHours":9.830298253838718,"quality":"inauspicious"},{"name":"Udveg","start":"09:50","end":"11:11","startHours":9.830298253838718,"endHours":11.189252364768045,"quality":"inauspicious"},{"name":"Chala","start":"11:11","end":"12:33","startHours":11.189252364768045,"endHours":12.54820647569737,"quality":"neutral"},{"name":"Labha","start":"12:33","end":"13:54","startHours":12.54820647569737,"endHours":13.907160586626695,"quality":"auspicious"},{"name":"Amṛta","start":"13:54","end":"15:16","startHours":13.907160586626695,"endHours":15.26611469755602,"quality":"auspicious"},{"name":"Kāla","start":"15:16","end":"16:38","startHours":15.26611469755602,"endHours":16.625068808485345,"quality":"inauspicious"},{"name":"Śubha","start":"16:38","end":"17:59","startHours":16.625068808485345,"endHours":17.98402291941467,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:59","end":"19:38","startHours":17.98402291941467,"endHours":19.625068808485345,"quality":"auspicious"},{"name":"Kāla","start":"19:38","end":"21:16","startHours":19.625068808485345,"endHours":21.26611469755602,"quality":"inauspicious"},{"name":"Śubha","start":"21:16","end":"22:54","startHours":21.26611469755602,"endHours":22.907160586626695,"quality":"auspicious"},{"name":"Roga","start":"22:54","end":"00:33","startHours":22.907160586626695,"endHours":24.54820647569737,"quality":"inauspicious"},{"name":"Udveg","start":"00:33","end":"02:11","startHours":24.54820647569737,"endHours":26.189252364768045,"quality":"inauspicious"},{"name":"Chala","start":"02:11","end":"03:50","startHours":26.189252364768045,"endHours":27.830298253838716,"quality":"neutral"},{"name":"Labha","start":"03:50","end":"05:28","startHours":27.830298253838716,"endHours":29.47134414290939,"quality":"auspicious"},{"name":"Amṛta","start":"05:28","end":"07:07","startHours":29.47134414290939,"endHours":31.112390031980066,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.112390031980067,"endHours":8.112390031980066,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.112390031980066,"endHours":9.112390031980066,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.112390031980066,"endHours":10.112390031980066,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.112390031980066,"endHours":11.112390031980066,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.112390031980066,"endHours":12.112390031980066,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.112390031980066,"endHours":13.112390031980066,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.112390031980066,"endHours":14.112390031980066,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.112390031980066,"endHours":15.112390031980066,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.112390031980066,"endHours":16.112390031980066,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.112390031980066,"endHours":17.112390031980066,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.112390031980066,"endHours":18.112390031980066,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.112390031980066,"endHours":19.112390031980066,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.112390031980066,"endHours":20.112390031980066,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.112390031980066,"endHours":21.112390031980066,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.112390031980066,"endHours":22.112390031980066,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.112390031980066,"endHours":23.112390031980066,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.112390031980066,"endHours":24.112390031980066,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.112390031980066,"endHours":25.112390031980066,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.112390031980066,"endHours":26.112390031980066,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.112390031980066,"endHours":27.112390031980066,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.112390031980066,"endHours":28.112390031980066,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.112390031980066,"endHours":29.112390031980066,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.112390031980066,"endHours":30.112390031980066,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.112390031980066,"endHours":31.112390031980066,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-East","rahuVasa":"North-West","anandadiYoga":{"name":"Saumya","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":-17.477109883097143,"eotMinutes":-13.52958854184206,"ayanamsa":26.2429}},"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 Daśamī · Vikram 2228 Tāraṇa · Śaka 2093 Prajāpati"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 31, 2171 CE · Vṛndāvana · Vidhyamitra","description":"January 31, 2171 CE for Vṛndāvana: Kṛṣṇa Daśamī, sūryodaya 07:07, sūryāsta 17:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2171-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2171-01-31","sa":"https://sa.vidhyamitra.com/city/vrindavan/2171-01-31","hi":"https://hi.vidhyamitra.com/city/vrindavan/2171-01-31","x-default":"https://vidhyamitra.com/city/vrindavan/2171-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T07:25:37.794Z","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":"2026-06-02T07:25:37.794Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T07:25:37.794Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}