{"id":"vidhyamitra:city-day:vrindavan:2099-08-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2099-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2099-08-20","date_display":"August 20, 2099 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":2099,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2487935.770833,"kali_year":5201,"ahargana":1899470.2708,"sun":{"sidereal_longitude":121.2864,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":169.5094,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.223,"elapsed_within_tithi_degrees":0.223},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.5094,"elapsed_within_degrees":9.5094},"yoga":{"number":22,"name":"Sādhya","sum_longitude":290.7958},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2099,"month":8,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2487935.770833,"ahargana":1899470.2708,"kali_year":5201,"ayanamsa_lahiri":25.2448,"grahas":{"sun":{"sidereal_longitude":122.15941499999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":173.32541500000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":-0.9796},"mars":{"sidereal_longitude":1.5708149999999819,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":123.65011500000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":149.07631500000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":128.56771500000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":164.94291499999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":336.9242,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":156.9242,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":2099,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2487935.770833,"kali_year":5201,"ahargana":1899470.2708,"sun":{"sidereal_longitude":121.2864,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":169.5094,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.223,"elapsed_within_tithi_degrees":0.223},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.5094,"elapsed_within_degrees":9.5094},"yoga":{"number":22,"name":"Sādhya","sum_longitude":290.7958},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.98,"elongation":48.223},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.98,"opposition_distance":131.777}},"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":"05:52","sunsetLocal":"18:53","solarNoonLocal":"12:22","dayLengthHours":13.005929625659768,"dayLengthDisplay":"13 Hours 00 Mins 21 Secs","nightLengthDisplay":"10 Hours 59 Mins 39 Secs","moonriseLocal":"10:00","moonsetLocal":"21:34","rahuKala":{"name":"Rāhu Kāla","start":"14:00","end":"15:38","startHours":13.99928805171631,"endHours":15.625029254923781,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:52","end":"07:30","startHours":5.870582035678955,"endHours":7.496323238886426,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:07","end":"10:45","startHours":9.122064442093897,"endHours":10.747805645301368,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.9052989483329,"endHours":9.338829935854893,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:46","startHours":6.412495770081445,"endHours":6.759320560099038,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:48","startHours":11.940015860986845,"endHours":12.80707783603083,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:08","end":"05:00","startHours":4.136458085590986,"endHours":5.00352006063497,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:47","end":"05:52","startHours":4.786754566873974,"endHours":5.870582035678955,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:24","startHours":14.541201786118801,"endHours":15.408263761162786,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.676511661338722,"endHours":19.07651166133872,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:25","startHours":18.87651166133872,"endHours":19.418425395741213,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.62651166133872,"endHours":20.37651166133872,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:48","startHours":23.940015860986847,"endHours":24.807077836030828,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:52","end":"07:30","startHours":5.870582035678955,"endHours":7.496323238886426,"quality":"auspicious"},{"name":"Roga","start":"07:30","end":"09:07","startHours":7.496323238886426,"endHours":9.122064442093897,"quality":"inauspicious"},{"name":"Udveg","start":"09:07","end":"10:45","startHours":9.122064442093897,"endHours":10.747805645301368,"quality":"inauspicious"},{"name":"Chala","start":"10:45","end":"12:22","startHours":10.747805645301368,"endHours":12.373546848508838,"quality":"neutral"},{"name":"Labha","start":"12:22","end":"14:00","startHours":12.373546848508838,"endHours":13.99928805171631,"quality":"auspicious"},{"name":"Amṛta","start":"14:00","end":"15:38","startHours":13.99928805171631,"endHours":15.625029254923781,"quality":"auspicious"},{"name":"Kāla","start":"15:38","end":"17:15","startHours":15.625029254923781,"endHours":17.25077045813125,"quality":"inauspicious"},{"name":"Śubha","start":"17:15","end":"18:53","startHours":17.25077045813125,"endHours":18.87651166133872,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:53","end":"20:15","startHours":18.87651166133872,"endHours":20.25077045813125,"quality":"auspicious"},{"name":"Kāla","start":"20:15","end":"21:38","startHours":20.25077045813125,"endHours":21.62502925492378,"quality":"inauspicious"},{"name":"Śubha","start":"21:38","end":"23:00","startHours":21.62502925492378,"endHours":22.99928805171631,"quality":"auspicious"},{"name":"Roga","start":"23:00","end":"00:22","startHours":22.99928805171631,"endHours":24.373546848508838,"quality":"inauspicious"},{"name":"Udveg","start":"00:22","end":"01:45","startHours":24.373546848508838,"endHours":25.747805645301366,"quality":"inauspicious"},{"name":"Chala","start":"01:45","end":"03:07","startHours":25.747805645301366,"endHours":27.122064442093894,"quality":"neutral"},{"name":"Labha","start":"03:07","end":"04:30","startHours":27.122064442093894,"endHours":28.496323238886426,"quality":"auspicious"},{"name":"Amṛta","start":"04:30","end":"05:52","startHours":28.496323238886426,"endHours":29.870582035678954,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:52","end":"06:52","startHours":5.870582035678955,"endHours":6.870582035678955,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:52","end":"07:52","startHours":6.870582035678955,"endHours":7.870582035678955,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:52","end":"08:52","startHours":7.870582035678955,"endHours":8.870582035678954,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:52","end":"09:52","startHours":8.870582035678954,"endHours":9.870582035678954,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:52","end":"10:52","startHours":9.870582035678954,"endHours":10.870582035678954,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:52","end":"11:52","startHours":10.870582035678954,"endHours":11.870582035678954,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:52","end":"12:52","startHours":11.870582035678954,"endHours":12.870582035678954,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:52","end":"13:52","startHours":12.870582035678954,"endHours":13.870582035678954,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:52","end":"14:52","startHours":13.870582035678954,"endHours":14.870582035678954,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:52","end":"15:52","startHours":14.870582035678954,"endHours":15.870582035678954,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:52","end":"16:52","startHours":15.870582035678954,"endHours":16.870582035678954,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:52","end":"17:52","startHours":16.870582035678954,"endHours":17.870582035678954,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:52","end":"18:52","startHours":17.870582035678954,"endHours":18.870582035678954,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:52","end":"19:52","startHours":18.870582035678954,"endHours":19.870582035678954,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:52","end":"20:52","startHours":19.870582035678954,"endHours":20.870582035678954,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:52","end":"21:52","startHours":20.870582035678954,"endHours":21.870582035678954,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:52","end":"22:52","startHours":21.870582035678954,"endHours":22.870582035678954,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:52","end":"23:52","startHours":22.870582035678954,"endHours":23.870582035678954,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:52","end":"00:52","startHours":23.870582035678954,"endHours":24.870582035678954,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:52","end":"01:52","startHours":24.870582035678954,"endHours":25.870582035678954,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:52","end":"02:52","startHours":25.870582035678954,"endHours":26.870582035678954,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:52","end":"03:52","startHours":26.870582035678954,"endHours":27.870582035678954,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:52","end":"04:52","startHours":27.870582035678954,"endHours":28.870582035678954,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:52","end":"05:52","startHours":28.870582035678954,"endHours":29.870582035678954,"planetary_lord":"Moon"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.372232909408986,"eotMinutes":-3.0500109105302213,"ayanamsa":25.2448}},"calendars":{"vikram_samvat":2156,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2021,"saka_samvatsara":"Siddhārthī","bengali_samvat":1506,"malayalam_era":1275,"nanakshahi_year":630,"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":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pañcamī · Vikram 2156 Aṅgirasa · Śaka 2021 Siddhārthī"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 20, 2099 CE · Vṛndāvana · Vidhyamitra","description":"August 20, 2099 CE for Vṛndāvana: Śukla Pañcamī, sūryodaya 05:52, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2099-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2099-08-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2099-08-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2099-08-20","x-default":"https://vidhyamitra.com/city/vrindavan/2099-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T02:06:10.810Z","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":"2026-06-01T02:06:10.810Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T02:06:10.810Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}