{"id":"vidhyamitra:city-day:vrindavan:1981-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1981-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1981-07-31","date_display":"July 31, 1981 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":1981,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444816.770833,"kali_year":5083,"ahargana":1856351.2708,"sun":{"sidereal_longitude":103.6764,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":103.883,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":0.2066,"elapsed_within_tithi_degrees":0.2066},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":103.883,"elapsed_within_degrees":10.5496},"yoga":{"number":16,"name":"Siddhi","sum_longitude":207.5593},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":1981,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2444816.770833,"ahargana":1856351.2708,"kali_year":5083,"ayanamsa_lahiri":23.5957,"grahas":{"sun":{"sidereal_longitude":104.16337799999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":102.594378,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":0.1809},"mars":{"sidereal_longitude":75.14977799999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":93.199678,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":162.64767800000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":134.46337799999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":161.59547799999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":101.5763,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":281.5763,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":1981,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444816.770833,"kali_year":5083,"ahargana":1856351.2708,"sun":{"sidereal_longitude":103.6764,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":103.883,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":0.2066,"elapsed_within_tithi_degrees":0.2066},"nakshatra":{"number":8,"name":"Puṣya","pada":4,"moon_longitude":103.883,"elapsed_within_degrees":10.5496},"yoga":{"number":16,"name":"Siddhi","sum_longitude":207.5593},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":true,"moon_latitude":0.181,"elongation":0.207},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.181,"opposition_distance":179.793}},"eclipse_window_40days":[{"offset_days":-14,"type":"lunar","occurs":true,"moon_latitude":1.092,"opposition_distance":2.128},{"offset_days":0,"type":"solar","occurs":true,"moon_latitude":0.181,"elongation":0.207}]},"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":"05:42","sunsetLocal":"19:09","solarNoonLocal":"12:25","dayLengthHours":13.46184883332571,"dayLengthDisplay":"13 Hours 27 Mins 43 Secs","nightLengthDisplay":"10 Hours 32 Mins 17 Secs","moonriseLocal":"05:36","moonsetLocal":"19:03","rahuKala":{"name":"Rāhu Kāla","start":"10:44","end":"12:25","startHours":10.741171804373467,"endHours":12.42390290853918,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:47","end":"17:28","startHours":15.78936511687061,"endHours":17.47209622103632,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:23","end":"09:04","startHours":7.375709596042039,"endHours":9.058440700207754,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:17","startHours":8.834076552985657,"endHours":9.282804847429848,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:15","end":"06:37","startHours":6.253888859931563,"endHours":6.612871495486916,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:52","startHours":11.975174614094989,"endHours":12.87263120298337,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:54","end":"04:48","startHours":3.898065314099564,"endHours":4.795521902987945,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:34","end":"05:42","startHours":4.571157755765849,"endHours":5.6929784918763255,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:34","startHours":14.66754438076013,"endHours":15.56500096964851,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:57","end":"19:21","startHours":18.954827325202036,"endHours":19.354827325202034,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:09","end":"19:43","startHours":19.154827325202035,"endHours":19.715737693257275,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:54","end":"20:39","startHours":18.904827325202035,"endHours":20.654827325202035,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:52","startHours":23.97517461409499,"endHours":24.87263120298337,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:42","end":"07:23","startHours":5.6929784918763255,"endHours":7.375709596042039,"quality":"neutral"},{"name":"Labha","start":"07:23","end":"09:04","startHours":7.375709596042039,"endHours":9.058440700207754,"quality":"auspicious"},{"name":"Amṛta","start":"09:04","end":"10:44","startHours":9.058440700207754,"endHours":10.741171804373467,"quality":"auspicious"},{"name":"Kāla","start":"10:44","end":"12:25","startHours":10.741171804373467,"endHours":12.42390290853918,"quality":"inauspicious"},{"name":"Śubha","start":"12:25","end":"14:06","startHours":12.42390290853918,"endHours":14.106634012704895,"quality":"auspicious"},{"name":"Roga","start":"14:06","end":"15:47","startHours":14.106634012704895,"endHours":15.78936511687061,"quality":"inauspicious"},{"name":"Udveg","start":"15:47","end":"17:28","startHours":15.78936511687061,"endHours":17.47209622103632,"quality":"inauspicious"},{"name":"Chala","start":"17:28","end":"19:09","startHours":17.47209622103632,"endHours":19.154827325202035,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:09","end":"20:28","startHours":19.154827325202035,"endHours":20.47209622103632,"quality":"inauspicious"},{"name":"Udveg","start":"20:28","end":"21:47","startHours":20.47209622103632,"endHours":21.789365116870606,"quality":"inauspicious"},{"name":"Chala","start":"21:47","end":"23:06","startHours":21.789365116870606,"endHours":23.106634012704895,"quality":"neutral"},{"name":"Labha","start":"23:06","end":"00:25","startHours":23.106634012704895,"endHours":24.42390290853918,"quality":"auspicious"},{"name":"Amṛta","start":"00:25","end":"01:44","startHours":24.42390290853918,"endHours":25.741171804373465,"quality":"auspicious"},{"name":"Kāla","start":"01:44","end":"03:04","startHours":25.741171804373465,"endHours":27.058440700207754,"quality":"inauspicious"},{"name":"Śubha","start":"03:04","end":"04:23","startHours":27.058440700207754,"endHours":28.37570959604204,"quality":"auspicious"},{"name":"Roga","start":"04:23","end":"05:42","startHours":28.37570959604204,"endHours":29.692978491876325,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:42","end":"06:42","startHours":5.6929784918763255,"endHours":6.6929784918763255,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:42","end":"07:42","startHours":6.6929784918763255,"endHours":7.6929784918763255,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:42","end":"08:42","startHours":7.6929784918763255,"endHours":8.692978491876325,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:42","end":"09:42","startHours":8.692978491876325,"endHours":9.692978491876325,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:42","end":"10:42","startHours":9.692978491876325,"endHours":10.692978491876325,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:42","end":"11:42","startHours":10.692978491876325,"endHours":11.692978491876325,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:42","end":"12:42","startHours":11.692978491876325,"endHours":12.692978491876325,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:42","end":"13:42","startHours":12.692978491876325,"endHours":13.692978491876325,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:42","end":"14:42","startHours":13.692978491876325,"endHours":14.692978491876325,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:42","end":"15:42","startHours":14.692978491876325,"endHours":15.692978491876325,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:42","end":"16:42","startHours":15.692978491876325,"endHours":16.692978491876325,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:42","end":"17:42","startHours":16.692978491876325,"endHours":17.692978491876325,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:42","end":"18:42","startHours":17.692978491876325,"endHours":18.692978491876325,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:42","end":"19:42","startHours":18.692978491876325,"endHours":19.692978491876325,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:42","end":"20:42","startHours":19.692978491876325,"endHours":20.692978491876325,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:42","end":"21:42","startHours":20.692978491876325,"endHours":21.692978491876325,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:42","end":"22:42","startHours":21.692978491876325,"endHours":22.692978491876325,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:42","end":"23:42","startHours":22.692978491876325,"endHours":23.692978491876325,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:42","end":"00:42","startHours":23.692978491876325,"endHours":24.692978491876325,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:42","end":"01:42","startHours":24.692978491876325,"endHours":25.692978491876325,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:42","end":"02:42","startHours":25.692978491876325,"endHours":26.692978491876325,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:42","end":"03:42","startHours":26.692978491876325,"endHours":27.692978491876325,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:42","end":"04:42","startHours":27.692978491876325,"endHours":28.692978491876325,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:42","end":"05:42","startHours":28.692978491876325,"endHours":29.692978491876325,"planetary_lord":"Mars"}],"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","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Dhātṛ","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":18.32727153307736,"eotMinutes":-6.071374512350812,"ayanamsa":23.5957}},"calendars":{"vikram_samvat":2038,"vikram_samvatsara":"Bhāva","saka_samvat":1903,"saka_samvatsara":"Durmati","bengali_samvat":1388,"malayalam_era":1157,"nanakshahi_year":512,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pratipada · Vikram 2038 Bhāva · Śaka 1903 Durmati"},"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":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 July 31, 1981 CE · Vṛndāvana · Vidhyamitra","description":"July 31, 1981 CE for Vṛndāvana: Śukla Pratipada, sūryodaya 05:42, sūryāsta 19:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1981-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1981-07-31","sa":"https://sa.vidhyamitra.com/city/vrindavan/1981-07-31","hi":"https://hi.vidhyamitra.com/city/vrindavan/1981-07-31","x-default":"https://vidhyamitra.com/city/vrindavan/1981-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-18T05:15:39.194Z","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":"2026-05-18T05:15:39.194Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-18T05:15:39.194Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}