{"id":"vidhyamitra:city-day:vrindavan:2115-08-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2115-08-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-08-21","date_display":"August 21, 2115 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":2115,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493779.770833,"kali_year":5217,"ahargana":1905314.2708,"sun":{"sidereal_longitude":121.1523,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":136.1616,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":15.0093,"elapsed_within_tithi_degrees":3.0093},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":136.1616,"elapsed_within_degrees":2.8283},"yoga":{"number":20,"name":"Śiva","sum_longitude":257.3139},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2115,"month":8,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493779.770833,"ahargana":1905314.2708,"kali_year":5217,"ayanamsa_lahiri":25.4683,"grahas":{"sun":{"sidereal_longitude":122.06353200000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":136.54963199999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false,"latitude":4.2574},"mars":{"sidereal_longitude":132.856632,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":145.846232,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":266.501632,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":129.461232,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":358.125432,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":27.2809,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":207.2809,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2115,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493779.770833,"kali_year":5217,"ahargana":1905314.2708,"sun":{"sidereal_longitude":121.1523,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":136.1616,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":15.0093,"elapsed_within_tithi_degrees":3.0093},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":136.1616,"elapsed_within_degrees":2.8283},"yoga":{"number":20,"name":"Śiva","sum_longitude":257.3139},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.257,"elongation":15.009},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.257,"opposition_distance":164.991}},"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":"18:52","solarNoonLocal":"12:22","dayLengthHours":13.002684963708681,"dayLengthDisplay":"13 Hours 00 Mins 10 Secs","nightLengthDisplay":"10 Hours 59 Mins 50 Secs","moonriseLocal":"07:03","moonsetLocal":"19:38","rahuKala":{"name":"Rāhu Kāla","start":"12:22","end":"14:00","startHours":12.369344888599915,"endHours":13.9946805090635,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:30","end":"09:07","startHours":7.493338027209161,"endHours":9.118673647672747,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:45","end":"12:22","startHours":10.744009268136331,"endHours":12.369344888599915,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.901962231610934,"endHours":9.335385063734558,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:45","startHours":6.409780946900104,"endHours":6.756519212599002,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:48","startHours":11.935922056476292,"endHours":12.802767720723539,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:08","end":"05:00","startHours":4.134311078251085,"endHours":5.00115674249833,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:47","end":"05:52","startHours":4.7844453264365185,"endHours":5.868002406745576,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:24","startHours":14.536459049218031,"endHours":15.403304713465277,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:40","end":"19:04","startHours":18.670687370454257,"endHours":19.070687370454255,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:52","end":"19:25","startHours":18.870687370454256,"endHours":19.412465910608784,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:37","end":"20:22","startHours":18.620687370454256,"endHours":20.370687370454256,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:48","startHours":23.935922056476294,"endHours":24.802767720723537,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:52","end":"07:30","startHours":5.868002406745576,"endHours":7.493338027209161,"quality":"auspicious"},{"name":"Amṛta","start":"07:30","end":"09:07","startHours":7.493338027209161,"endHours":9.118673647672747,"quality":"auspicious"},{"name":"Kāla","start":"09:07","end":"10:45","startHours":9.118673647672747,"endHours":10.744009268136331,"quality":"inauspicious"},{"name":"Śubha","start":"10:45","end":"12:22","startHours":10.744009268136331,"endHours":12.369344888599915,"quality":"auspicious"},{"name":"Roga","start":"12:22","end":"14:00","startHours":12.369344888599915,"endHours":13.9946805090635,"quality":"inauspicious"},{"name":"Udveg","start":"14:00","end":"15:37","startHours":13.9946805090635,"endHours":15.620016129527087,"quality":"inauspicious"},{"name":"Chala","start":"15:37","end":"17:15","startHours":15.620016129527087,"endHours":17.24535174999067,"quality":"neutral"},{"name":"Labha","start":"17:15","end":"18:52","startHours":17.24535174999067,"endHours":18.870687370454256,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:52","end":"20:15","startHours":18.870687370454256,"endHours":20.24535174999067,"quality":"inauspicious"},{"name":"Chala","start":"20:15","end":"21:37","startHours":20.24535174999067,"endHours":21.620016129527087,"quality":"neutral"},{"name":"Labha","start":"21:37","end":"23:00","startHours":21.620016129527087,"endHours":22.9946805090635,"quality":"auspicious"},{"name":"Amṛta","start":"23:00","end":"00:22","startHours":22.9946805090635,"endHours":24.369344888599915,"quality":"auspicious"},{"name":"Kāla","start":"00:22","end":"01:45","startHours":24.369344888599915,"endHours":25.74400926813633,"quality":"inauspicious"},{"name":"Śubha","start":"01:45","end":"03:07","startHours":25.74400926813633,"endHours":27.118673647672743,"quality":"auspicious"},{"name":"Roga","start":"03:07","end":"04:30","startHours":27.118673647672743,"endHours":28.49333802720916,"quality":"inauspicious"},{"name":"Udveg","start":"04:30","end":"05:52","startHours":28.49333802720916,"endHours":29.868002406745575,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:52","end":"06:52","startHours":5.868002406745576,"endHours":6.868002406745576,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:52","end":"07:52","startHours":6.868002406745576,"endHours":7.868002406745576,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:52","end":"08:52","startHours":7.868002406745576,"endHours":8.868002406745575,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:52","end":"09:52","startHours":8.868002406745575,"endHours":9.868002406745575,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:52","end":"10:52","startHours":9.868002406745575,"endHours":10.868002406745575,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:52","end":"11:52","startHours":10.868002406745575,"endHours":11.868002406745575,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:52","end":"12:52","startHours":11.868002406745575,"endHours":12.868002406745575,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:52","end":"13:52","startHours":12.868002406745575,"endHours":13.868002406745575,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:52","end":"14:52","startHours":13.868002406745575,"endHours":14.868002406745575,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:52","end":"15:52","startHours":14.868002406745575,"endHours":15.868002406745575,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:52","end":"16:52","startHours":15.868002406745575,"endHours":16.868002406745575,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:52","end":"17:52","startHours":16.868002406745575,"endHours":17.868002406745575,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:52","end":"18:52","startHours":17.868002406745575,"endHours":18.868002406745575,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:52","end":"19:52","startHours":18.868002406745575,"endHours":19.868002406745575,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:52","end":"20:52","startHours":19.868002406745575,"endHours":20.868002406745575,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:52","end":"21:52","startHours":20.868002406745575,"endHours":21.868002406745575,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:52","end":"22:52","startHours":21.868002406745575,"endHours":22.868002406745575,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:52","end":"23:52","startHours":22.868002406745575,"endHours":23.868002406745575,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:52","end":"00:52","startHours":23.868002406745575,"endHours":24.868002406745575,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:52","end":"01:52","startHours":24.868002406745575,"endHours":25.868002406745575,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:52","end":"02:52","startHours":25.868002406745575,"endHours":26.868002406745575,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:52","end":"03:52","startHours":26.868002406745575,"endHours":27.868002406745575,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:52","end":"04:52","startHours":27.868002406745575,"endHours":28.868002406745575,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:52","end":"05:52","startHours":28.868002406745575,"endHours":29.868002406745575,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.328425990719563,"eotMinutes":-2.7978933159948465,"ayanamsa":25.4683}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada (Adhika) Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada (Adhika) Śukla Dvitīyā · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 21, 2115 CE · Vṛndāvana · Vidhyamitra","description":"August 21, 2115 CE for Vṛndāvana: Śukla Dvitīyā, sūryodaya 05:52, sūryāsta 18:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2115-08-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2115-08-21","sa":"https://sa.vidhyamitra.com/city/vrindavan/2115-08-21","hi":"https://hi.vidhyamitra.com/city/vrindavan/2115-08-21","x-default":"https://vidhyamitra.com/city/vrindavan/2115-08-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T03:39:14.030Z","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":"2026-05-31T03:39:14.030Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T03:39:14.030Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}