{"id":"vidhyamitra:city-day:haridwar:-3181-09-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/haridwar/-3181-09-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3181-09-09","date_display":"September 9, 3182 BCE","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3181,"month":9,"day":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559448.770833,"kali_year":-79,"ahargana":-29016.7292,"sun":{"sidereal_longitude":199.0254,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":350.4242,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.3988,"elapsed_within_tithi_degrees":7.3988},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.4242,"elapsed_within_degrees":3.7576},"yoga":{"number":15,"name":"Vajra","sum_longitude":189.4496},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":-3181,"month":9,"day":9,"hour":6,"minute":30,"calendar":"julian"},"julian_day":559448.770833,"ahargana":-29016.7292,"kali_year":-79,"ayanamsa_lahiri":-48.5126,"grahas":{"sun":{"sidereal_longitude":199.0254,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":350.4242,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":4.3025},"mars":{"sidereal_longitude":241.313,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":187.3271,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":123.1191,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":242.5566,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":123.2276,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":277.4459,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":97.4459,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3181,"month":9,"day":9,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559448.770833,"kali_year":-79,"ahargana":-29016.7292,"sun":{"sidereal_longitude":199.0254,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":350.4242,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.3988,"elapsed_within_tithi_degrees":7.3988},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.4242,"elapsed_within_degrees":3.7576},"yoga":{"number":15,"name":"Vajra","sum_longitude":189.4496},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.302,"elongation":151.399},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.302,"opposition_distance":28.601}},"eclipse_window_40days":[]},"city":{"slug":"haridwar","name":"Haridwār","lat":29.9457,"lon":78.1642,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"haridwar","name":"Haridwār","lat":29.9457,"lon":78.1642,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"05:44","sunsetLocal":"18:44","solarNoonLocal":"12:14","dayLengthHours":13.012269818537034,"dayLengthDisplay":"13 Hours 00 Mins 44 Secs","nightLengthDisplay":"10 Hours 59 Mins 16 Secs","moonriseLocal":"17:04","moonsetLocal":"03:35","rahuKala":{"name":"Rāhu Kāla","start":"12:14","end":"13:52","startHours":12.234362906279863,"endHours":13.860896633596992,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:21","end":"08:59","startHours":7.354761724328476,"endHours":8.981295451645606,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:36","end":"12:14","startHours":10.607829178962735,"endHours":12.234362906279863,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:12","startHours":8.76442428800332,"endHours":9.198166615287889,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:16","end":"06:37","startHours":6.270405906117056,"endHours":6.61739976794471,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:48","end":"12:40","startHours":11.800620578995295,"endHours":12.66810523356443,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:00","end":"04:52","startHours":3.993258687873076,"endHours":4.860743342442211,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:39","end":"05:44","startHours":4.643872178799928,"endHours":5.728227997011347,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:24","end":"15:16","startHours":14.403074542702702,"endHours":15.270559197271838,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:32","end":"18:56","startHours":18.54049781554838,"endHours":18.94049781554838,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:44","end":"19:17","startHours":18.74049781554838,"endHours":19.28267572465409,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:29","end":"20:14","startHours":18.49049781554838,"endHours":20.24049781554838,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:48","end":"00:40","startHours":23.800620578995296,"endHours":24.66810523356443,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:44","end":"07:21","startHours":5.728227997011347,"endHours":7.354761724328476,"quality":"auspicious"},{"name":"Amṛta","start":"07:21","end":"08:59","startHours":7.354761724328476,"endHours":8.981295451645606,"quality":"auspicious"},{"name":"Kāla","start":"08:59","end":"10:36","startHours":8.981295451645606,"endHours":10.607829178962735,"quality":"inauspicious"},{"name":"Śubha","start":"10:36","end":"12:14","startHours":10.607829178962735,"endHours":12.234362906279863,"quality":"auspicious"},{"name":"Roga","start":"12:14","end":"13:52","startHours":12.234362906279863,"endHours":13.860896633596992,"quality":"inauspicious"},{"name":"Udveg","start":"13:52","end":"15:29","startHours":13.860896633596992,"endHours":15.487430360914122,"quality":"inauspicious"},{"name":"Chala","start":"15:29","end":"17:07","startHours":15.487430360914122,"endHours":17.11396408823125,"quality":"neutral"},{"name":"Labha","start":"17:07","end":"18:44","startHours":17.11396408823125,"endHours":18.74049781554838,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:44","end":"20:07","startHours":18.74049781554838,"endHours":20.113964088231253,"quality":"inauspicious"},{"name":"Chala","start":"20:07","end":"21:29","startHours":20.113964088231253,"endHours":21.48743036091412,"quality":"neutral"},{"name":"Labha","start":"21:29","end":"22:52","startHours":21.48743036091412,"endHours":22.860896633596994,"quality":"auspicious"},{"name":"Amṛta","start":"22:52","end":"00:14","startHours":22.860896633596994,"endHours":24.234362906279863,"quality":"auspicious"},{"name":"Kāla","start":"00:14","end":"01:36","startHours":24.234362906279863,"endHours":25.607829178962735,"quality":"inauspicious"},{"name":"Śubha","start":"01:36","end":"02:59","startHours":25.607829178962735,"endHours":26.981295451645607,"quality":"auspicious"},{"name":"Roga","start":"02:59","end":"04:21","startHours":26.981295451645607,"endHours":28.354761724328476,"quality":"inauspicious"},{"name":"Udveg","start":"04:21","end":"05:44","startHours":28.354761724328476,"endHours":29.728227997011345,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:44","end":"06:44","startHours":5.728227997011347,"endHours":6.728227997011347,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:44","end":"07:44","startHours":6.728227997011347,"endHours":7.728227997011347,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:44","end":"08:44","startHours":7.728227997011347,"endHours":8.728227997011347,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:44","end":"09:44","startHours":8.728227997011347,"endHours":9.728227997011347,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:44","end":"10:44","startHours":9.728227997011347,"endHours":10.728227997011347,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:44","end":"11:44","startHours":10.728227997011347,"endHours":11.728227997011347,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:44","end":"12:44","startHours":11.728227997011347,"endHours":12.728227997011347,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:44","end":"13:44","startHours":12.728227997011347,"endHours":13.728227997011347,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:44","end":"14:44","startHours":13.728227997011347,"endHours":14.728227997011347,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:44","end":"15:44","startHours":14.728227997011347,"endHours":15.728227997011347,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:44","end":"16:44","startHours":15.728227997011347,"endHours":16.728227997011345,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:44","end":"17:44","startHours":16.728227997011345,"endHours":17.728227997011345,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:44","end":"18:44","startHours":17.728227997011345,"endHours":18.728227997011345,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:44","end":"19:44","startHours":18.728227997011345,"endHours":19.728227997011345,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:44","end":"20:44","startHours":19.728227997011345,"endHours":20.728227997011345,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:44","end":"21:44","startHours":20.728227997011345,"endHours":21.728227997011345,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:44","end":"22:44","startHours":21.728227997011345,"endHours":22.728227997011345,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:44","end":"23:44","startHours":22.728227997011345,"endHours":23.728227997011345,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:44","end":"00:44","startHours":23.728227997011345,"endHours":24.728227997011345,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:44","end":"01:44","startHours":24.728227997011345,"endHours":25.728227997011345,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:44","end":"02:44","startHours":25.728227997011345,"endHours":26.728227997011345,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:44","end":"03:44","startHours":26.728227997011345,"endHours":27.728227997011345,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:44","end":"04:44","startHours":27.728227997011345,"endHours":28.728227997011345,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:44","end":"05:44","startHours":28.728227997011345,"endHours":29.728227997011345,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":11.2900293921476,"eotMinutes":3.2814256232083188,"ayanamsa":-48.5126}},"calendars":{"vikram_samvat":-3124,"saka_samvat":-3259,"bengali_samvat":-3774,"malayalam_era":-4005,"nanakshahi_year":-4650,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Trayodaśī · Vikram -3124 undefined · Śaka -3259 undefined"},"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":"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":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"haridwar"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga September 9, 3182 BCE · Haridwār · Vidhyamitra","description":"September 9, 3182 BCE for Haridwār: Śukla Trayodaśī, sūryodaya 05:44, sūryāsta 18:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/haridwar/-3181-09-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/haridwar/-3181-09-09","sa":"https://sa.vidhyamitra.com/city/haridwar/-3181-09-09","hi":"https://hi.vidhyamitra.com/city/haridwar/-3181-09-09","x-default":"https://vidhyamitra.com/city/haridwar/-3181-09-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-13T05:20:31.820Z","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":"2026-08-13T05:20:31.820Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-13T05:20:31.820Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}