{"id":"vidhyamitra:city-day:noida:2172-07-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/noida/2172-07-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2172-07-29","date_display":"July 29, 2172 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":2172,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514576.770833,"kali_year":5274,"ahargana":1926111.2708,"sun":{"sidereal_longitude":99.4755,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":197.2466,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":97.7711,"elapsed_within_tithi_degrees":1.7711},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":197.2466,"elapsed_within_degrees":10.58},"yoga":{"number":23,"name":"Śubha","sum_longitude":296.7222},"karana":{"half_tithi_index":16,"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":2172,"month":7,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2514576.770833,"ahargana":1926111.2708,"kali_year":5274,"ayanamsa_lahiri":26.2637,"grahas":{"sun":{"sidereal_longitude":100.398733,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":195.25993300000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false,"latitude":-0.9263},"mars":{"sidereal_longitude":186.33593300000007,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":87.94253300000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":191.60103300000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":54.44233299999996,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":332.818433,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":5.3558,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":185.3558,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":2172,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2514576.770833,"kali_year":5274,"ahargana":1926111.2708,"sun":{"sidereal_longitude":99.4755,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":197.2466,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":97.7711,"elapsed_within_tithi_degrees":1.7711},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":197.2466,"elapsed_within_degrees":10.58},"yoga":{"number":23,"name":"Śubha","sum_longitude":296.7222},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.926,"elongation":97.771},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.926,"opposition_distance":82.229}},"eclipse_window_40days":[]},"city":{"slug":"noida","name":"Noida, Uttar Pradesh","lat":28.5355,"lon":77.391,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"noida","name":"Noida, Uttar Pradesh","lat":28.5355,"lon":77.391,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"05:40","sunsetLocal":"19:13","solarNoonLocal":"12:27","dayLengthHours":13.542256421149746,"dayLengthDisplay":"13 Hours 32 Mins 32 Secs","nightLengthDisplay":"10 Hours 27 Mins 28 Secs","moonriseLocal":"13:17","moonsetLocal":"00:15","rahuKala":{"name":"Rāhu Kāla","start":"12:27","end":"14:08","startHours":12.443060940092437,"endHours":14.135842992736155,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:22","end":"09:03","startHours":7.364714782161281,"endHours":9.057496834804999,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:45","end":"12:27","startHours":10.750278887448719,"endHours":12.443060940092437,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:17","startHours":8.83179256111917,"endHours":9.283201108490829,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:14","end":"06:36","startHours":6.236193413732136,"endHours":6.597320251629462,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:54","startHours":11.991652392720779,"endHours":12.894469487464095,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:52","end":"04:46","startHours":3.8662985400309298,"endHours":4.769115634774247,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:33","end":"05:40","startHours":4.543411361088417,"endHours":5.671932729517563,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:36","startHours":14.700103676950727,"endHours":15.602920771694043,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:01","end":"19:25","startHours":19.01418915066731,"endHours":19.41418915066731,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:13","end":"19:47","startHours":19.21418915066731,"endHours":19.778449834881883,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:58","end":"20:43","startHours":18.96418915066731,"endHours":20.71418915066731,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:54","startHours":23.991652392720777,"endHours":24.894469487464097,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:40","end":"07:22","startHours":5.671932729517563,"endHours":7.364714782161281,"quality":"auspicious"},{"name":"Amṛta","start":"07:22","end":"09:03","startHours":7.364714782161281,"endHours":9.057496834804999,"quality":"auspicious"},{"name":"Kāla","start":"09:03","end":"10:45","startHours":9.057496834804999,"endHours":10.750278887448719,"quality":"inauspicious"},{"name":"Śubha","start":"10:45","end":"12:27","startHours":10.750278887448719,"endHours":12.443060940092437,"quality":"auspicious"},{"name":"Roga","start":"12:27","end":"14:08","startHours":12.443060940092437,"endHours":14.135842992736155,"quality":"inauspicious"},{"name":"Udveg","start":"14:08","end":"15:50","startHours":14.135842992736155,"endHours":15.828625045379873,"quality":"inauspicious"},{"name":"Chala","start":"15:50","end":"17:31","startHours":15.828625045379873,"endHours":17.52140709802359,"quality":"neutral"},{"name":"Labha","start":"17:31","end":"19:13","startHours":17.52140709802359,"endHours":19.21418915066731,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:13","end":"20:31","startHours":19.21418915066731,"endHours":20.52140709802359,"quality":"inauspicious"},{"name":"Chala","start":"20:31","end":"21:50","startHours":20.52140709802359,"endHours":21.828625045379873,"quality":"neutral"},{"name":"Labha","start":"21:50","end":"23:08","startHours":21.828625045379873,"endHours":23.135842992736155,"quality":"auspicious"},{"name":"Amṛta","start":"23:08","end":"00:27","startHours":23.135842992736155,"endHours":24.443060940092437,"quality":"auspicious"},{"name":"Kāla","start":"00:27","end":"01:45","startHours":24.443060940092437,"endHours":25.75027888744872,"quality":"inauspicious"},{"name":"Śubha","start":"01:45","end":"03:03","startHours":25.75027888744872,"endHours":27.057496834805,"quality":"auspicious"},{"name":"Roga","start":"03:03","end":"04:22","startHours":27.057496834805,"endHours":28.36471478216128,"quality":"inauspicious"},{"name":"Udveg","start":"04:22","end":"05:40","startHours":28.36471478216128,"endHours":29.671932729517565,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:40","end":"06:40","startHours":5.671932729517563,"endHours":6.671932729517563,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:40","end":"07:40","startHours":6.671932729517563,"endHours":7.671932729517563,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:40","end":"08:40","startHours":7.671932729517563,"endHours":8.671932729517563,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:40","end":"09:40","startHours":8.671932729517563,"endHours":9.671932729517563,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:40","end":"10:40","startHours":9.671932729517563,"endHours":10.671932729517563,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:40","end":"11:40","startHours":10.671932729517563,"endHours":11.671932729517563,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:40","end":"12:40","startHours":11.671932729517563,"endHours":12.671932729517563,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:40","end":"13:40","startHours":12.671932729517563,"endHours":13.671932729517563,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:40","end":"14:40","startHours":13.671932729517563,"endHours":14.671932729517563,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:40","end":"15:40","startHours":14.671932729517563,"endHours":15.671932729517563,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:40","end":"16:40","startHours":15.671932729517563,"endHours":16.671932729517565,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:40","end":"17:40","startHours":16.671932729517565,"endHours":17.671932729517565,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:40","end":"18:40","startHours":17.671932729517565,"endHours":18.671932729517565,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:40","end":"19:40","startHours":18.671932729517565,"endHours":19.671932729517565,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:40","end":"20:40","startHours":19.671932729517565,"endHours":20.671932729517565,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:40","end":"21:40","startHours":20.671932729517565,"endHours":21.671932729517565,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:40","end":"22:40","startHours":21.671932729517565,"endHours":22.671932729517565,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:40","end":"23:40","startHours":22.671932729517565,"endHours":23.671932729517565,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:40","end":"00:40","startHours":23.671932729517565,"endHours":24.671932729517565,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:40","end":"01:40","startHours":24.671932729517565,"endHours":25.671932729517565,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:40","end":"02:40","startHours":25.671932729517565,"endHours":26.671932729517565,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:40","end":"03:40","startHours":26.671932729517565,"endHours":27.671932729517565,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:40","end":"04:40","startHours":27.671932729517565,"endHours":28.671932729517565,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:40","end":"05:40","startHours":28.671932729517565,"endHours":29.671932729517565,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.605360564850127,"eotMinutes":-6.147656405546237,"ayanamsa":26.2637}},"calendars":{"vikram_samvat":2229,"vikram_samvatsara":"Pārthiva","saka_samvat":2094,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1579,"malayalam_era":1348,"nanakshahi_year":703,"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 Navamī · Vikram 2229 Pārthiva · Śaka 2094 Aṅgirasa"},"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"noida"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 29, 2172 CE · Noida, Uttar Pradesh · Vidhyamitra","description":"July 29, 2172 CE for Noida, Uttar Pradesh: Śukla Navamī, sūryodaya 05:40, sūryāsta 19:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/noida/2172-07-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/noida/2172-07-29","sa":"https://sa.vidhyamitra.com/city/noida/2172-07-29","hi":"https://hi.vidhyamitra.com/city/noida/2172-07-29","x-default":"https://vidhyamitra.com/city/noida/2172-07-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T04:01:49.072Z","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":"2026-06-03T04:01:49.072Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T04:01:49.072Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}