{"id":"vidhyamitra:city-day:vrindavan:2171-08-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2171-08-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2171-08-29","date_display":"August 29, 2171 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":2171,"month":8,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514241.770833,"kali_year":5273,"ahargana":1925776.2708,"sun":{"sidereal_longitude":128.3537,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":99.6138,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":331.2601,"elapsed_within_tithi_degrees":7.2601},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":99.6138,"elapsed_within_degrees":6.2804},"yoga":{"number":18,"name":"Varīyān","sum_longitude":227.9674},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"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":2171,"month":8,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514241.770833,"ahargana":1925776.2708,"kali_year":5273,"ayanamsa_lahiri":26.2509,"grahas":{"sun":{"sidereal_longitude":129.43473300000005,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":101.03733299999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false,"latitude":4.3756},"mars":{"sidereal_longitude":93.84153300000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":131.898433,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":169.61953300000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":142.505133,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":317.933233,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":23.1057,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":203.1057,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2171,"month":8,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514241.770833,"kali_year":5273,"ahargana":1925776.2708,"sun":{"sidereal_longitude":128.3537,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":99.6138,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":331.2601,"elapsed_within_tithi_degrees":7.2601},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":99.6138,"elapsed_within_degrees":6.2804},"yoga":{"number":18,"name":"Varīyān","sum_longitude":227.9674},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.376,"elongation":28.74},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.376,"opposition_distance":151.26}},"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":"05:56","sunsetLocal":"18:44","solarNoonLocal":"12:20","dayLengthHours":12.79041162668073,"dayLengthDisplay":"12 Hours 47 Mins 25 Secs","nightLengthDisplay":"11 Hours 12 Mins 35 Secs","moonriseLocal":"03:43","moonsetLocal":"17:09","rahuKala":{"name":"Rāhu Kāla","start":"13:56","end":"15:32","startHours":13.929814821060692,"endHours":15.528616274395782,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:56","end":"07:32","startHours":5.935807554385235,"endHours":7.534609007720326,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:08","end":"10:44","startHours":9.133410461055417,"endHours":10.732211914390508,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:21","startHours":8.920236933944071,"endHours":9.346583988166763,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:28","end":"06:49","startHours":6.468741372163599,"endHours":6.809819015541752,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:45","startHours":11.90466631350291,"endHours":12.75736042194829,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:14","end":"05:05","startHours":4.230419337494471,"endHours":5.083113445939853,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:52","end":"05:56","startHours":4.869939918828508,"endHours":5.935807554385235,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:19","startHours":14.462748638839054,"endHours":15.315442747284436,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:32","end":"18:56","startHours":18.526219181065965,"endHours":18.926219181065964,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:44","end":"19:16","startHours":18.726219181065964,"endHours":19.25915299884433,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:29","end":"20:14","startHours":18.476219181065964,"endHours":20.226219181065964,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:45","startHours":23.904666313502908,"endHours":24.75736042194829,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:56","end":"07:32","startHours":5.935807554385235,"endHours":7.534609007720326,"quality":"auspicious"},{"name":"Roga","start":"07:32","end":"09:08","startHours":7.534609007720326,"endHours":9.133410461055417,"quality":"inauspicious"},{"name":"Udveg","start":"09:08","end":"10:44","startHours":9.133410461055417,"endHours":10.732211914390508,"quality":"inauspicious"},{"name":"Chala","start":"10:44","end":"12:20","startHours":10.732211914390508,"endHours":12.3310133677256,"quality":"neutral"},{"name":"Labha","start":"12:20","end":"13:56","startHours":12.3310133677256,"endHours":13.929814821060692,"quality":"auspicious"},{"name":"Amṛta","start":"13:56","end":"15:32","startHours":13.929814821060692,"endHours":15.528616274395782,"quality":"auspicious"},{"name":"Kāla","start":"15:32","end":"17:08","startHours":15.528616274395782,"endHours":17.127417727730872,"quality":"inauspicious"},{"name":"Śubha","start":"17:08","end":"18:44","startHours":17.127417727730872,"endHours":18.726219181065964,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:44","end":"20:08","startHours":18.726219181065964,"endHours":20.127417727730872,"quality":"auspicious"},{"name":"Kāla","start":"20:08","end":"21:32","startHours":20.127417727730872,"endHours":21.52861627439578,"quality":"inauspicious"},{"name":"Śubha","start":"21:32","end":"22:56","startHours":21.52861627439578,"endHours":22.929814821060692,"quality":"auspicious"},{"name":"Roga","start":"22:56","end":"00:20","startHours":22.929814821060692,"endHours":24.3310133677256,"quality":"inauspicious"},{"name":"Udveg","start":"00:20","end":"01:44","startHours":24.3310133677256,"endHours":25.732211914390508,"quality":"inauspicious"},{"name":"Chala","start":"01:44","end":"03:08","startHours":25.732211914390508,"endHours":27.13341046105542,"quality":"neutral"},{"name":"Labha","start":"03:08","end":"04:32","startHours":27.13341046105542,"endHours":28.534609007720327,"quality":"auspicious"},{"name":"Amṛta","start":"04:32","end":"05:56","startHours":28.534609007720327,"endHours":29.935807554385235,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:56","end":"06:56","startHours":5.935807554385235,"endHours":6.935807554385235,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:56","end":"07:56","startHours":6.935807554385235,"endHours":7.935807554385235,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:56","end":"08:56","startHours":7.935807554385235,"endHours":8.935807554385235,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:56","end":"09:56","startHours":8.935807554385235,"endHours":9.935807554385235,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:56","end":"10:56","startHours":9.935807554385235,"endHours":10.935807554385235,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:56","end":"11:56","startHours":10.935807554385235,"endHours":11.935807554385235,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:56","end":"12:56","startHours":11.935807554385235,"endHours":12.935807554385235,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:56","end":"13:56","startHours":12.935807554385235,"endHours":13.935807554385235,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:56","end":"14:56","startHours":13.935807554385235,"endHours":14.935807554385235,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:56","end":"15:56","startHours":14.935807554385235,"endHours":15.935807554385235,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:56","end":"16:56","startHours":15.935807554385235,"endHours":16.935807554385235,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:56","end":"17:56","startHours":16.935807554385235,"endHours":17.935807554385235,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:56","end":"18:56","startHours":17.935807554385235,"endHours":18.935807554385235,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:56","end":"19:56","startHours":18.935807554385235,"endHours":19.935807554385235,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:56","end":"20:56","startHours":19.935807554385235,"endHours":20.935807554385235,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:56","end":"21:56","startHours":20.935807554385235,"endHours":21.935807554385235,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:56","end":"22:56","startHours":21.935807554385235,"endHours":22.935807554385235,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:56","end":"23:56","startHours":22.935807554385235,"endHours":23.935807554385235,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:56","end":"00:56","startHours":23.935807554385235,"endHours":24.935807554385235,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:56","end":"01:56","startHours":24.935807554385235,"endHours":25.935807554385235,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:56","end":"02:56","startHours":25.935807554385235,"endHours":26.935807554385235,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:56","end":"03:56","startHours":26.935807554385235,"endHours":27.935807554385235,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:56","end":"04:56","startHours":27.935807554385235,"endHours":28.935807554385235,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:56","end":"05:56","startHours":28.935807554385235,"endHours":29.935807554385235,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Mātaṇga","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":9.425411761603058,"eotMinutes":-0.49800206353601495,"ayanamsa":26.2509}},"calendars":{"vikram_samvat":2228,"vikram_samvatsara":"Tāraṇa","saka_samvat":2093,"saka_samvatsara":"Prajāpati","bengali_samvat":1578,"malayalam_era":1347,"nanakshahi_year":702,"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 Trayodaśī · Vikram 2228 Tāraṇa · Śaka 2093 Prajāpati"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 29, 2171 CE · Vṛndāvana · Vidhyamitra","description":"August 29, 2171 CE for Vṛndāvana: Kṛṣṇa Trayodaśī, sūryodaya 05:56, sūryāsta 18:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2171-08-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2171-08-29","sa":"https://sa.vidhyamitra.com/city/vrindavan/2171-08-29","hi":"https://hi.vidhyamitra.com/city/vrindavan/2171-08-29","x-default":"https://vidhyamitra.com/city/vrindavan/2171-08-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T14:29:41.399Z","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":"2026-06-01T14:29:41.399Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T14:29:41.399Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}