{"id":"vidhyamitra:city-day:vrindavan:2116-08-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2116-08-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2116-08-31","date_display":"August 31, 2116 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":2116,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494155.770833,"kali_year":5218,"ahargana":1905690.2708,"sun":{"sidereal_longitude":131.4612,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":41.898,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":270.4367,"elapsed_within_tithi_degrees":6.4367},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":41.898,"elapsed_within_degrees":1.898},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":173.3592},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2116,"month":8,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2494155.770833,"ahargana":1905690.2708,"kali_year":5218,"ayanamsa_lahiri":25.4827,"grahas":{"sun":{"sidereal_longitude":132.42136600000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":38.84196600000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":2.5496},"mars":{"sidereal_longitude":29.91456599999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":116.49446599999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":304.26906600000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":89.79126600000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":11.54506600000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":7.3586,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":187.3586,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","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":2116,"month":8,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494155.770833,"kali_year":5218,"ahargana":1905690.2708,"sun":{"sidereal_longitude":131.4612,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":41.898,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":270.4367,"elapsed_within_tithi_degrees":6.4367},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":41.898,"elapsed_within_degrees":1.898},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":173.3592},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.55,"elongation":89.563},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.55,"opposition_distance":90.437}},"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":12.731243603048561,"dayLengthDisplay":"12 Hours 43 Mins 52 Secs","nightLengthDisplay":"11 Hours 16 Mins 08 Secs","moonriseLocal":"23:16","moonsetLocal":"12:54","rahuKala":{"name":"Rāhu Kāla","start":"07:33","end":"09:08","startHours":7.546070490133668,"endHours":9.137475940514738,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:44","end":"12:19","startHours":10.728881390895808,"endHours":12.320286841276879,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:55","end":"15:30","startHours":13.91169229165795,"endHours":15.503097742039019,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.925288547130595,"endHours":9.349663333898881,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:29","end":"06:49","startHours":6.485133523212955,"endHours":6.8246333526275835,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:45","startHours":11.895912054508594,"endHours":12.744661628045163,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:15","end":"05:06","startHours":4.257165892679456,"endHours":5.105915466216027,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:54","end":"05:57","startHours":4.893728072831885,"endHours":5.954665039752598,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:17","startHours":14.442160775118305,"endHours":15.290910348654876,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:29","end":"18:53","startHours":18.48590864280116,"endHours":18.88590864280116,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:41","end":"19:13","startHours":18.68590864280116,"endHours":19.216377126261516,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:26","end":"20:11","startHours":18.43590864280116,"endHours":20.18590864280116,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:45","startHours":23.895912054508592,"endHours":24.744661628045165,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:57","end":"07:33","startHours":5.954665039752598,"endHours":7.546070490133668,"quality":"auspicious"},{"name":"Kāla","start":"07:33","end":"09:08","startHours":7.546070490133668,"endHours":9.137475940514738,"quality":"inauspicious"},{"name":"Śubha","start":"09:08","end":"10:44","startHours":9.137475940514738,"endHours":10.728881390895808,"quality":"auspicious"},{"name":"Roga","start":"10:44","end":"12:19","startHours":10.728881390895808,"endHours":12.320286841276879,"quality":"inauspicious"},{"name":"Udveg","start":"12:19","end":"13:55","startHours":12.320286841276879,"endHours":13.91169229165795,"quality":"inauspicious"},{"name":"Chala","start":"13:55","end":"15:30","startHours":13.91169229165795,"endHours":15.503097742039019,"quality":"neutral"},{"name":"Labha","start":"15:30","end":"17:06","startHours":15.503097742039019,"endHours":17.09450319242009,"quality":"auspicious"},{"name":"Amṛta","start":"17:06","end":"18:41","startHours":17.09450319242009,"endHours":18.68590864280116,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:41","end":"20:06","startHours":18.68590864280116,"endHours":20.09450319242009,"quality":"neutral"},{"name":"Labha","start":"20:06","end":"21:30","startHours":20.09450319242009,"endHours":21.503097742039017,"quality":"auspicious"},{"name":"Amṛta","start":"21:30","end":"22:55","startHours":21.503097742039017,"endHours":22.91169229165795,"quality":"auspicious"},{"name":"Kāla","start":"22:55","end":"00:19","startHours":22.91169229165795,"endHours":24.32028684127688,"quality":"inauspicious"},{"name":"Śubha","start":"00:19","end":"01:44","startHours":24.32028684127688,"endHours":25.728881390895808,"quality":"auspicious"},{"name":"Roga","start":"01:44","end":"03:08","startHours":25.728881390895808,"endHours":27.13747594051474,"quality":"inauspicious"},{"name":"Udveg","start":"03:08","end":"04:33","startHours":27.13747594051474,"endHours":28.54607049013367,"quality":"inauspicious"},{"name":"Chala","start":"04:33","end":"05:57","startHours":28.54607049013367,"endHours":29.954665039752598,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:57","end":"06:57","startHours":5.954665039752598,"endHours":6.954665039752598,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:57","end":"07:57","startHours":6.954665039752598,"endHours":7.954665039752598,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:57","end":"08:57","startHours":7.954665039752598,"endHours":8.954665039752598,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:57","end":"09:57","startHours":8.954665039752598,"endHours":9.954665039752598,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:57","end":"10:57","startHours":9.954665039752598,"endHours":10.954665039752598,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:57","end":"11:57","startHours":10.954665039752598,"endHours":11.954665039752598,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:57","end":"12:57","startHours":11.954665039752598,"endHours":12.954665039752598,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:57","end":"13:57","startHours":12.954665039752598,"endHours":13.954665039752598,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:57","end":"14:57","startHours":13.954665039752598,"endHours":14.954665039752598,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:57","end":"15:57","startHours":14.954665039752598,"endHours":15.954665039752598,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:57","end":"16:57","startHours":15.954665039752598,"endHours":16.954665039752598,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:57","end":"17:57","startHours":16.954665039752598,"endHours":17.954665039752598,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:57","end":"18:57","startHours":17.954665039752598,"endHours":18.954665039752598,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:57","end":"19:57","startHours":18.954665039752598,"endHours":19.954665039752598,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:57","end":"20:57","startHours":19.954665039752598,"endHours":20.954665039752598,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:57","end":"21:57","startHours":20.954665039752598,"endHours":21.954665039752598,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:57","end":"22:57","startHours":21.954665039752598,"endHours":22.954665039752598,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:57","end":"23:57","startHours":22.954665039752598,"endHours":23.954665039752598,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:57","end":"00:57","startHours":23.954665039752598,"endHours":24.954665039752598,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:57","end":"01:57","startHours":24.954665039752598,"endHours":25.954665039752598,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:57","end":"02:57","startHours":25.954665039752598,"endHours":26.954665039752598,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:57","end":"03:57","startHours":26.954665039752598,"endHours":27.954665039752598,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:57","end":"04:57","startHours":27.954665039752598,"endHours":28.954665039752598,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:57","end":"05:57","startHours":28.954665039752598,"endHours":29.954665039752598,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":8.604352269962742,"eotMinutes":0.14558952338733633,"ayanamsa":25.4827}},"calendars":{"vikram_samvat":2173,"vikram_samvatsara":"Virodhi","saka_samvat":2038,"saka_samvatsara":"Dhātṛ","bengali_samvat":1523,"malayalam_era":1292,"nanakshahi_year":647,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Aṣṭamī · Vikram 2173 Virodhi · Śaka 2038 Dhātṛ"},"festivals":[{"id":"krishna-janmashtami","name":"Krishna Janmāṣṭamī","name_sanskrit":"कृष्ण जन्माष्टमी","tradition":"Vaishnava","associated_deity":"Krishna (svayaṁ bhagavān)","deity_avatara_index":20,"significance":"Bhagavān Krishna manifested at Mathurā midnight on this exact tithi-nakshatra alignment in 3227 BCE.","vrata":true,"primary_observance":"Madhya-rātri (midnight) abhiṣekam in Mathurā tradition","detection":{"tithi_number":23,"tithi_paksha":"Kṛṣṇa","nakshatra_name":"Rohiṇī","lunar_month":"Bhādrapada"},"precedence":1,"related_chart":"krishna","historical_anchor":{"event":"Bhagavān Krishna's birth at Mathurā","date_julian":"-3226-07-09","location":"Mathurā"},"sources":["Bhāgavata Purāṇa 10.3"]}],"todays_walk":{"walk":{"id":"krishna-janmashtami-walk","name":"Krishna Janmāṣṭamī Walk","name_sanskrit":"कृष्ण जन्माष्टमी यात्रा","type":"festival","description":"Bhāgavata 10.3 (birth at Mathurā) + BG 4.7-8 + 10.8 (Krishna as svayaṁ bhagavān).","step_count":11,"url":"/walk/krishna-janmashtami-walk"},"reason":"Today is Krishna Janmāṣṭamī — its dedicated walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī + Rohiṇī","url":"/day/-3226-07-09","relevance":1}]},"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, 2116 CE · Vṛndāvana · Vidhyamitra","description":"August 31, 2116 CE for Vṛndāvana: Kṛṣṇa Aṣṭamī, sūryodaya 05:57, sūryāsta 18:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2116-08-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2116-08-31","sa":"https://sa.vidhyamitra.com/city/vrindavan/2116-08-31","hi":"https://hi.vidhyamitra.com/city/vrindavan/2116-08-31","x-default":"https://vidhyamitra.com/city/vrindavan/2116-08-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:07:38.984Z","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":"2026-05-31T10:07:38.984Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:07:38.984Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}