{"id":"vidhyamitra:city-day:vrindavan:2013-08-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2013-08-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2013-08-31","date_display":"August 31, 2013 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":2013,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456535.770833,"kali_year":5115,"ahargana":1868070.2708,"sun":{"sidereal_longitude":133.0519,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":70.6885,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":297.6367,"elapsed_within_tithi_degrees":9.6367},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":70.6885,"elapsed_within_degrees":4.0219},"yoga":{"number":16,"name":"Siddhi","sum_longitude":203.7404},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2013,"month":8,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456535.770833,"ahargana":1868070.2708,"kali_year":5115,"ayanamsa_lahiri":24.0439,"grahas":{"sun":{"sidereal_longitude":133.767626,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":72.56472600000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false,"latitude":-3.4478},"mars":{"sidereal_longitude":97.68172600000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":139.418726,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":79.24442599999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":172.72722599999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":192.76982599999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":200.6473,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":20.6473,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2013,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456535.770833,"kali_year":5115,"ahargana":1868070.2708,"sun":{"sidereal_longitude":133.0519,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":70.6885,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":297.6367,"elapsed_within_tithi_degrees":9.6367},"nakshatra":{"number":6,"name":"Ārdrā","pada":2,"moon_longitude":70.6885,"elapsed_within_degrees":4.0219},"yoga":{"number":16,"name":"Siddhi","sum_longitude":203.7404},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.448,"elongation":62.363},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.448,"opposition_distance":117.637}},"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":"05:57","sunsetLocal":"18:41","solarNoonLocal":"12:19","dayLengthHours":12.73372167018531,"dayLengthDisplay":"12 Hours 44 Mins 01 Secs","nightLengthDisplay":"11 Hours 15 Mins 59 Secs","moonriseLocal":"01:20","moonsetLocal":"15:09","rahuKala":{"name":"Rāhu Kāla","start":"09:08","end":"10:44","startHours":9.136856423730553,"endHours":10.728571632503716,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:55","end":"15:30","startHours":13.912002050050043,"endHours":15.503717258823208,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:57","end":"07:33","startHours":5.953426006184224,"endHours":7.545141214957388,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:21","startHours":8.924627729227463,"endHours":9.34908511823364,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:49","startHours":6.483997742441946,"endHours":6.823563653646888,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:45","startHours":11.895829452270702,"endHours":12.744744230283056,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:15","end":"05:06","startHours":4.255596450159516,"endHours":5.10451122817187,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:54","end":"05:57","startHours":4.892282533668782,"endHours":5.953426006184224,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:17","startHours":14.442573786307765,"endHours":15.291488564320119,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:29","end":"18:53","startHours":18.487147676369535,"endHours":18.887147676369533,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:41","end":"19:13","startHours":18.687147676369534,"endHours":19.217719412627254,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:26","end":"20:11","startHours":18.437147676369534,"endHours":20.187147676369534,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:45","startHours":23.8958294522707,"endHours":24.744744230283057,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:57","end":"07:33","startHours":5.953426006184224,"endHours":7.545141214957388,"quality":"inauspicious"},{"name":"Śubha","start":"07:33","end":"09:08","startHours":7.545141214957388,"endHours":9.136856423730553,"quality":"auspicious"},{"name":"Roga","start":"09:08","end":"10:44","startHours":9.136856423730553,"endHours":10.728571632503716,"quality":"inauspicious"},{"name":"Udveg","start":"10:44","end":"12:19","startHours":10.728571632503716,"endHours":12.320286841276879,"quality":"inauspicious"},{"name":"Chala","start":"12:19","end":"13:55","startHours":12.320286841276879,"endHours":13.912002050050043,"quality":"neutral"},{"name":"Labha","start":"13:55","end":"15:30","startHours":13.912002050050043,"endHours":15.503717258823208,"quality":"auspicious"},{"name":"Amṛta","start":"15:30","end":"17:06","startHours":15.503717258823208,"endHours":17.09543246759637,"quality":"auspicious"},{"name":"Kāla","start":"17:06","end":"18:41","startHours":17.09543246759637,"endHours":18.687147676369534,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:41","end":"20:06","startHours":18.687147676369534,"endHours":20.09543246759637,"quality":"auspicious"},{"name":"Amṛta","start":"20:06","end":"21:30","startHours":20.09543246759637,"endHours":21.503717258823208,"quality":"auspicious"},{"name":"Kāla","start":"21:30","end":"22:55","startHours":21.503717258823208,"endHours":22.91200205005004,"quality":"inauspicious"},{"name":"Śubha","start":"22:55","end":"00:19","startHours":22.91200205005004,"endHours":24.32028684127688,"quality":"auspicious"},{"name":"Roga","start":"00:19","end":"01:44","startHours":24.32028684127688,"endHours":25.728571632503716,"quality":"inauspicious"},{"name":"Udveg","start":"01:44","end":"03:08","startHours":25.728571632503716,"endHours":27.13685642373055,"quality":"inauspicious"},{"name":"Chala","start":"03:08","end":"04:33","startHours":27.13685642373055,"endHours":28.545141214957386,"quality":"neutral"},{"name":"Labha","start":"04:33","end":"05:57","startHours":28.545141214957386,"endHours":29.953426006184223,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:57","end":"06:57","startHours":5.953426006184224,"endHours":6.953426006184224,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:57","end":"07:57","startHours":6.953426006184224,"endHours":7.953426006184224,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:57","end":"08:57","startHours":7.953426006184224,"endHours":8.953426006184223,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:57","end":"09:57","startHours":8.953426006184223,"endHours":9.953426006184223,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:57","end":"10:57","startHours":9.953426006184223,"endHours":10.953426006184223,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:57","end":"11:57","startHours":10.953426006184223,"endHours":11.953426006184223,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:57","end":"12:57","startHours":11.953426006184223,"endHours":12.953426006184223,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:57","end":"13:57","startHours":12.953426006184223,"endHours":13.953426006184223,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:57","end":"14:57","startHours":13.953426006184223,"endHours":14.953426006184223,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:57","end":"15:57","startHours":14.953426006184223,"endHours":15.953426006184223,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:57","end":"16:57","startHours":15.953426006184223,"endHours":16.953426006184223,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:57","end":"17:57","startHours":16.953426006184223,"endHours":17.953426006184223,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:57","end":"18:57","startHours":17.953426006184223,"endHours":18.953426006184223,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:57","end":"19:57","startHours":18.953426006184223,"endHours":19.953426006184223,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:57","end":"20:57","startHours":19.953426006184223,"endHours":20.953426006184223,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:57","end":"21:57","startHours":20.953426006184223,"endHours":21.953426006184223,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:57","end":"22:57","startHours":21.953426006184223,"endHours":22.953426006184223,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:57","end":"23:57","startHours":22.953426006184223,"endHours":23.953426006184223,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:57","end":"00:57","startHours":23.953426006184223,"endHours":24.953426006184223,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:57","end":"01:57","startHours":24.953426006184223,"endHours":25.953426006184223,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:57","end":"02:57","startHours":25.953426006184223,"endHours":26.953426006184223,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:57","end":"03:57","startHours":26.953426006184223,"endHours":27.953426006184223,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:57","end":"04:57","startHours":27.953426006184223,"endHours":28.953426006184223,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:57","end":"05:57","startHours":28.953426006184223,"endHours":29.953426006184223,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":8.63883366166375,"eotMinutes":0.14558952338733633,"ayanamsa":24.0439}},"calendars":{"vikram_samvat":2070,"vikram_samvatsara":"Parābhava","saka_samvat":1935,"saka_samvatsara":"Vijaya","bengali_samvat":1420,"malayalam_era":1189,"nanakshahi_year":544,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Daśamī · Vikram 2070 Parābhava · Śaka 1935 Vijaya"},"festivals":[{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 August 31, 2013 CE · Vṛndāvana · Vidhyamitra","description":"August 31, 2013 CE for Vṛndāvana: Kṛṣṇa Daśamī, sūryodaya 05:57, sūryāsta 18:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2013-08-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2013-08-31","sa":"https://sa.vidhyamitra.com/city/vrindavan/2013-08-31","hi":"https://hi.vidhyamitra.com/city/vrindavan/2013-08-31","x-default":"https://vidhyamitra.com/city/vrindavan/2013-08-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T16:46:37.115Z","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":"2026-05-15T16:46:37.115Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T16:46:37.115Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}