{"id":"vidhyamitra:city-day:vrindavan:2090-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2090-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2090-07-31","date_display":"July 31, 2090 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":2090,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484628.770833,"kali_year":5192,"ahargana":1896163.2708,"sun":{"sidereal_longitude":102.5318,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":154.7642,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":52.2324,"elapsed_within_tithi_degrees":4.2324},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":154.7642,"elapsed_within_degrees":8.0975},"yoga":{"number":20,"name":"Śiva","sum_longitude":257.2959},"karana":{"half_tithi_index":8,"name":"Bava"},"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":2090,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2484628.770833,"ahargana":1896163.2708,"kali_year":5192,"ayanamsa_lahiri":25.1183,"grahas":{"sun":{"sidereal_longitude":103.27606700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":158.401067,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":0.2054},"mars":{"sidereal_longitude":63.000067,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":124.08606699999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":224.257567,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":147.58596699999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":55.814967000000024,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":152.1449,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":332.1449,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"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":2090,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484628.770833,"kali_year":5192,"ahargana":1896163.2708,"sun":{"sidereal_longitude":102.5318,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":154.7642,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":52.2324,"elapsed_within_tithi_degrees":4.2324},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":154.7642,"elapsed_within_degrees":8.0975},"yoga":{"number":20,"name":"Śiva","sum_longitude":257.2959},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.205,"elongation":52.232},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.205,"opposition_distance":127.768}},"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":"05:42","sunsetLocal":"19:09","solarNoonLocal":"12:25","dayLengthHours":13.448827688679325,"dayLengthDisplay":"13 Hours 26 Mins 56 Secs","nightLengthDisplay":"10 Hours 33 Mins 04 Secs","moonriseLocal":"10:06","moonsetLocal":"22:06","rahuKala":{"name":"Rāhu Kāla","start":"07:23","end":"09:04","startHours":7.380592525284432,"endHours":9.061695986369347,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:45","end":"12:25","startHours":10.742799447454264,"endHours":12.42390290853918,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:06","end":"15:47","startHours":14.105006369624094,"endHours":15.78610983070901,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:17","startHours":8.837548858224693,"endHours":9.285843114514003,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:37","startHours":6.259856884561155,"endHours":6.618492289592604,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:52","startHours":11.97560865224987,"endHours":12.87219716482849,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:54","end":"04:48","startHours":3.906312039042273,"endHours":4.802900551620895,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:35","end":"05:42","startHours":4.57875342347624,"endHours":5.699489064199517,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:34","startHours":14.665374189985732,"endHours":15.561962702564353,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:57","end":"19:21","startHours":18.948316752878842,"endHours":19.34831675287884,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:09","end":"19:43","startHours":19.14831675287884,"endHours":19.70868457324048,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:54","end":"20:39","startHours":18.89831675287884,"endHours":20.64831675287884,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:52","startHours":23.975608652249868,"endHours":24.872197164828492,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:42","end":"07:23","startHours":5.699489064199517,"endHours":7.380592525284432,"quality":"auspicious"},{"name":"Kāla","start":"07:23","end":"09:04","startHours":7.380592525284432,"endHours":9.061695986369347,"quality":"inauspicious"},{"name":"Śubha","start":"09:04","end":"10:45","startHours":9.061695986369347,"endHours":10.742799447454264,"quality":"auspicious"},{"name":"Roga","start":"10:45","end":"12:25","startHours":10.742799447454264,"endHours":12.42390290853918,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:06","startHours":12.42390290853918,"endHours":14.105006369624094,"quality":"inauspicious"},{"name":"Chala","start":"14:06","end":"15:47","startHours":14.105006369624094,"endHours":15.78610983070901,"quality":"neutral"},{"name":"Labha","start":"15:47","end":"17:28","startHours":15.78610983070901,"endHours":17.467213291793925,"quality":"auspicious"},{"name":"Amṛta","start":"17:28","end":"19:09","startHours":17.467213291793925,"endHours":19.14831675287884,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:09","end":"20:28","startHours":19.14831675287884,"endHours":20.467213291793925,"quality":"neutral"},{"name":"Labha","start":"20:28","end":"21:47","startHours":20.467213291793925,"endHours":21.78610983070901,"quality":"auspicious"},{"name":"Amṛta","start":"21:47","end":"23:06","startHours":21.78610983070901,"endHours":23.105006369624093,"quality":"auspicious"},{"name":"Kāla","start":"23:06","end":"00:25","startHours":23.105006369624093,"endHours":24.42390290853918,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:45","startHours":24.42390290853918,"endHours":25.742799447454264,"quality":"auspicious"},{"name":"Roga","start":"01:45","end":"03:04","startHours":25.742799447454264,"endHours":27.061695986369347,"quality":"inauspicious"},{"name":"Udveg","start":"03:04","end":"04:23","startHours":27.061695986369347,"endHours":28.380592525284435,"quality":"inauspicious"},{"name":"Chala","start":"04:23","end":"05:42","startHours":28.380592525284435,"endHours":29.69948906419952,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:42","end":"06:42","startHours":5.699489064199517,"endHours":6.699489064199517,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:42","end":"07:42","startHours":6.699489064199517,"endHours":7.699489064199517,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:42","end":"08:42","startHours":7.699489064199517,"endHours":8.699489064199517,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:42","end":"09:42","startHours":8.699489064199517,"endHours":9.699489064199517,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:42","end":"10:42","startHours":9.699489064199517,"endHours":10.699489064199517,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:42","end":"11:42","startHours":10.699489064199517,"endHours":11.699489064199517,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:42","end":"12:42","startHours":11.699489064199517,"endHours":12.699489064199517,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:42","end":"13:42","startHours":12.699489064199517,"endHours":13.699489064199517,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:42","end":"14:42","startHours":13.699489064199517,"endHours":14.699489064199517,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:42","end":"15:42","startHours":14.699489064199517,"endHours":15.699489064199517,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:42","end":"16:42","startHours":15.699489064199517,"endHours":16.69948906419952,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:42","end":"17:42","startHours":16.69948906419952,"endHours":17.69948906419952,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:42","end":"18:42","startHours":17.69948906419952,"endHours":18.69948906419952,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:42","end":"19:42","startHours":18.69948906419952,"endHours":19.69948906419952,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:42","end":"20:42","startHours":19.69948906419952,"endHours":20.69948906419952,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:42","end":"21:42","startHours":20.69948906419952,"endHours":21.69948906419952,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:42","end":"22:42","startHours":21.69948906419952,"endHours":22.69948906419952,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:42","end":"23:42","startHours":22.69948906419952,"endHours":23.69948906419952,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:42","end":"00:42","startHours":23.69948906419952,"endHours":24.69948906419952,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:42","end":"01:42","startHours":24.69948906419952,"endHours":25.69948906419952,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:42","end":"02:42","startHours":25.69948906419952,"endHours":26.69948906419952,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:42","end":"03:42","startHours":26.69948906419952,"endHours":27.69948906419952,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:42","end":"04:42","startHours":27.69948906419952,"endHours":28.69948906419952,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:42","end":"05:42","startHours":28.69948906419952,"endHours":29.69948906419952,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.163194556962928,"eotMinutes":-6.071374512350812,"ayanamsa":25.1183}},"calendars":{"vikram_samvat":2147,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":2012,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1497,"malayalam_era":1266,"nanakshahi_year":621,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pañcamī · Vikram 2147 Rudhirodgāri · Śaka 2012 Sādhāraṇa"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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, 2090 CE · Vṛndāvana · Vidhyamitra","description":"July 31, 2090 CE for Vṛndāvana: Śukla Pañcamī, sūryodaya 05:42, sūryāsta 19:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2090-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2090-07-31","sa":"https://sa.vidhyamitra.com/city/vrindavan/2090-07-31","hi":"https://hi.vidhyamitra.com/city/vrindavan/2090-07-31","x-default":"https://vidhyamitra.com/city/vrindavan/2090-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T18:38:24.192Z","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":"2026-06-01T18:38:24.192Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T18:38:24.192Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}