{"id":"vidhyamitra:city-day:badrinath:2002-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2002-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-07-31","date_display":"July 31, 2002 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":2002,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452486.770833,"kali_year":5104,"ahargana":1864021.2708,"sun":{"sidereal_longitude":103.264,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":0.7884,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":257.5244,"elapsed_within_tithi_degrees":5.5244},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":0.7884,"elapsed_within_degrees":0.7884},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":104.0524},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"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":2002,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452486.770833,"ahargana":1864021.2708,"kali_year":5104,"ayanamsa_lahiri":23.889,"grahas":{"sun":{"sidereal_longitude":103.79902800000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":358.532028,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false,"latitude":-3.6574},"mars":{"sidereal_longitude":107.25362799999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":114.46542800000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":95.64542800000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"venus":{"sidereal_longitude":148.314528,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":60.81232799999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":55.1828,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":235.1828,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2002,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452486.770833,"kali_year":5104,"ahargana":1864021.2708,"sun":{"sidereal_longitude":103.264,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":0.7884,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":257.5244,"elapsed_within_tithi_degrees":5.5244},"nakshatra":{"number":1,"name":"Aśvinī","pada":1,"moon_longitude":0.7884,"elapsed_within_degrees":0.7884},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":104.0524},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.657,"elongation":102.476},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.657,"opposition_distance":77.524}},"eclipse_window_40days":[]},"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"tier2":{"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"sunriseLocal":"05:28","sunsetLocal":"19:08","solarNoonLocal":"12:18","dayLengthHours":13.655789716974233,"dayLengthDisplay":"13 Hours 39 Mins 21 Secs","nightLengthDisplay":"10 Hours 20 Mins 39 Secs","moonriseLocal":"22:53","moonsetLocal":"11:41","rahuKala":{"name":"Rāhu Kāla","start":"12:18","end":"14:01","startHours":12.30160290853918,"endHours":14.008576623160959,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:11","end":"08:53","startHours":7.180681764673843,"endHours":8.887655479295622,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:36","end":"12:18","startHours":10.594629193917402,"endHours":12.30160290853918,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:07","startHours":8.660058984012718,"endHours":9.115251974578527,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:03","end":"06:24","startHours":6.042699288259324,"endHours":6.40685368071197,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:45","startHours":11.846409917973373,"endHours":12.756795899104988,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:39","end":"04:34","startHours":3.652936087788833,"endHours":4.563322068920448,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:20","end":"05:28","startHours":4.335725573637545,"endHours":5.473708050052064,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:29","startHours":14.57756786136822,"endHours":15.487953842499834,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:56","end":"19:20","startHours":18.929497767026298,"endHours":19.329497767026297,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:08","end":"19:42","startHours":19.129497767026297,"endHours":19.698489005233558,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:53","end":"20:38","startHours":18.879497767026297,"endHours":20.629497767026297,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:45","startHours":23.84640991797337,"endHours":24.75679589910499,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:28","end":"07:11","startHours":5.473708050052064,"endHours":7.180681764673843,"quality":"auspicious"},{"name":"Amṛta","start":"07:11","end":"08:53","startHours":7.180681764673843,"endHours":8.887655479295622,"quality":"auspicious"},{"name":"Kāla","start":"08:53","end":"10:36","startHours":8.887655479295622,"endHours":10.594629193917402,"quality":"inauspicious"},{"name":"Śubha","start":"10:36","end":"12:18","startHours":10.594629193917402,"endHours":12.30160290853918,"quality":"auspicious"},{"name":"Roga","start":"12:18","end":"14:01","startHours":12.30160290853918,"endHours":14.008576623160959,"quality":"inauspicious"},{"name":"Udveg","start":"14:01","end":"15:43","startHours":14.008576623160959,"endHours":15.715550337782739,"quality":"inauspicious"},{"name":"Chala","start":"15:43","end":"17:25","startHours":15.715550337782739,"endHours":17.42252405240452,"quality":"neutral"},{"name":"Labha","start":"17:25","end":"19:08","startHours":17.42252405240452,"endHours":19.129497767026297,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:08","end":"20:25","startHours":19.129497767026297,"endHours":20.42252405240452,"quality":"inauspicious"},{"name":"Chala","start":"20:25","end":"21:43","startHours":20.42252405240452,"endHours":21.715550337782737,"quality":"neutral"},{"name":"Labha","start":"21:43","end":"23:01","startHours":21.715550337782737,"endHours":23.00857662316096,"quality":"auspicious"},{"name":"Amṛta","start":"23:01","end":"00:18","startHours":23.00857662316096,"endHours":24.30160290853918,"quality":"auspicious"},{"name":"Kāla","start":"00:18","end":"01:36","startHours":24.30160290853918,"endHours":25.594629193917402,"quality":"inauspicious"},{"name":"Śubha","start":"01:36","end":"02:53","startHours":25.594629193917402,"endHours":26.887655479295624,"quality":"auspicious"},{"name":"Roga","start":"02:53","end":"04:11","startHours":26.887655479295624,"endHours":28.180681764673842,"quality":"inauspicious"},{"name":"Udveg","start":"04:11","end":"05:28","startHours":28.180681764673842,"endHours":29.473708050052064,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:28","end":"06:28","startHours":5.473708050052064,"endHours":6.473708050052064,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:28","end":"07:28","startHours":6.473708050052064,"endHours":7.473708050052064,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:28","end":"08:28","startHours":7.473708050052064,"endHours":8.473708050052064,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:28","end":"09:28","startHours":8.473708050052064,"endHours":9.473708050052064,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:28","end":"10:28","startHours":9.473708050052064,"endHours":10.473708050052064,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:28","end":"11:28","startHours":10.473708050052064,"endHours":11.473708050052064,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:28","end":"12:28","startHours":11.473708050052064,"endHours":12.473708050052064,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:28","end":"13:28","startHours":12.473708050052064,"endHours":13.473708050052064,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:28","end":"14:28","startHours":13.473708050052064,"endHours":14.473708050052064,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:28","end":"15:28","startHours":14.473708050052064,"endHours":15.473708050052064,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:28","end":"16:28","startHours":15.473708050052064,"endHours":16.473708050052064,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:28","end":"17:28","startHours":16.473708050052064,"endHours":17.473708050052064,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:28","end":"18:28","startHours":17.473708050052064,"endHours":18.473708050052064,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:28","end":"19:28","startHours":18.473708050052064,"endHours":19.473708050052064,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:28","end":"20:28","startHours":19.473708050052064,"endHours":20.473708050052064,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:28","end":"21:28","startHours":20.473708050052064,"endHours":21.473708050052064,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:28","end":"22:28","startHours":21.473708050052064,"endHours":22.473708050052064,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:28","end":"23:28","startHours":22.473708050052064,"endHours":23.473708050052064,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:28","end":"00:28","startHours":23.473708050052064,"endHours":24.473708050052064,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:28","end":"01:28","startHours":24.473708050052064,"endHours":25.473708050052064,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:28","end":"02:28","startHours":25.473708050052064,"endHours":26.473708050052064,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:28","end":"03:28","startHours":26.473708050052064,"endHours":27.473708050052064,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:28","end":"04:28","startHours":27.473708050052064,"endHours":28.473708050052064,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:28","end":"05:28","startHours":28.473708050052064,"endHours":29.473708050052064,"planetary_lord":"Sun"}],"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","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.345486654082453,"eotMinutes":-6.071374512350812,"ayanamsa":23.889}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Saptamī · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"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":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"badrinath"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 31, 2002 CE · Badarīnāth · Vidhyamitra","description":"July 31, 2002 CE for Badarīnāth: Kṛṣṇa Saptamī, sūryodaya 05:28, sūryāsta 19:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2002-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2002-07-31","sa":"https://sa.vidhyamitra.com/city/badrinath/2002-07-31","hi":"https://hi.vidhyamitra.com/city/badrinath/2002-07-31","x-default":"https://vidhyamitra.com/city/badrinath/2002-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-17T07:40:36.279Z","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":"2026-05-17T07:40:36.279Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-17T07:40:36.279Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}