{"id":"vidhyamitra:city-day:haridwar:-3173-09-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/haridwar/-3173-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3173-09-13","date_display":"September 13, 3174 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":-3173,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":562374.770833,"kali_year":-71,"ahargana":-26090.7292,"sun":{"sidereal_longitude":202.9905,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":23.2471,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":180.2566,"elapsed_within_tithi_degrees":0.2566},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":23.2471,"elapsed_within_degrees":9.9137},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":226.2376},"karana":{"half_tithi_index":30,"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":-3173,"month":9,"day":13,"hour":6,"minute":30,"calendar":"julian"},"julian_day":562374.770833,"ahargana":-26090.7292,"kali_year":-71,"ayanamsa_lahiri":-48.4007,"grahas":{"sun":{"sidereal_longitude":202.9905,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":23.2471,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":-4.4424},"mars":{"sidereal_longitude":2.5936,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":191.8015,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":346.0465,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":247.5299,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":211.8229,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":122.4124,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":302.4124,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":"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":-3173,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":562374.770833,"kali_year":-71,"ahargana":-26090.7292,"sun":{"sidereal_longitude":202.9905,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":23.2471,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":180.2566,"elapsed_within_tithi_degrees":0.2566},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":23.2471,"elapsed_within_degrees":9.9137},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":226.2376},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.442,"elongation":179.743},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.442,"opposition_distance":0.257}},"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":"05:46","sunsetLocal":"18:39","solarNoonLocal":"12:13","dayLengthHours":12.894403289655948,"dayLengthDisplay":"12 Hours 53 Mins 40 Secs","nightLengthDisplay":"11 Hours 06 Mins 20 Secs","moonriseLocal":"18:34","moonsetLocal":"05:54","rahuKala":{"name":"Rāhu Kāla","start":"12:13","end":"13:49","startHours":12.2098221511689,"endHours":13.821622562375893,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:22","end":"08:59","startHours":7.374420917547921,"endHours":8.986221328754915,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:36","end":"12:13","startHours":10.598021739961908,"endHours":12.2098221511689,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:12","startHours":8.77131460726065,"endHours":9.20112805024918,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:18","end":"06:39","startHours":6.299887310076592,"endHours":6.643738064467417,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:38","startHours":11.780008708180368,"endHours":12.639635594157433,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:03","end":"04:54","startHours":4.043366734386801,"endHours":4.902993620363865,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:41","end":"05:46","startHours":4.6880868988695985,"endHours":5.7626205063409275,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:13","startHours":14.358889366111558,"endHours":15.218516252088621,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:27","end":"18:51","startHours":18.457023795996875,"endHours":18.857023795996874,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:39","end":"19:12","startHours":18.657023795996874,"endHours":19.19429059973254,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:24","end":"20:09","startHours":18.407023795996874,"endHours":20.157023795996874,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:38","startHours":23.780008708180368,"endHours":24.639635594157433,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:46","end":"07:22","startHours":5.7626205063409275,"endHours":7.374420917547921,"quality":"auspicious"},{"name":"Amṛta","start":"07:22","end":"08:59","startHours":7.374420917547921,"endHours":8.986221328754915,"quality":"auspicious"},{"name":"Kāla","start":"08:59","end":"10:36","startHours":8.986221328754915,"endHours":10.598021739961908,"quality":"inauspicious"},{"name":"Śubha","start":"10:36","end":"12:13","startHours":10.598021739961908,"endHours":12.2098221511689,"quality":"auspicious"},{"name":"Roga","start":"12:13","end":"13:49","startHours":12.2098221511689,"endHours":13.821622562375893,"quality":"inauspicious"},{"name":"Udveg","start":"13:49","end":"15:26","startHours":13.821622562375893,"endHours":15.43342297358289,"quality":"inauspicious"},{"name":"Chala","start":"15:26","end":"17:03","startHours":15.43342297358289,"endHours":17.04522338478988,"quality":"neutral"},{"name":"Labha","start":"17:03","end":"18:39","startHours":17.04522338478988,"endHours":18.657023795996874,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:39","end":"20:03","startHours":18.657023795996874,"endHours":20.04522338478988,"quality":"inauspicious"},{"name":"Chala","start":"20:03","end":"21:26","startHours":20.04522338478988,"endHours":21.433422973582886,"quality":"neutral"},{"name":"Labha","start":"21:26","end":"22:49","startHours":21.433422973582886,"endHours":22.821622562375893,"quality":"auspicious"},{"name":"Amṛta","start":"22:49","end":"00:13","startHours":22.821622562375893,"endHours":24.2098221511689,"quality":"auspicious"},{"name":"Kāla","start":"00:13","end":"01:36","startHours":24.2098221511689,"endHours":25.598021739961908,"quality":"inauspicious"},{"name":"Śubha","start":"01:36","end":"02:59","startHours":25.598021739961908,"endHours":26.986221328754915,"quality":"auspicious"},{"name":"Roga","start":"02:59","end":"04:22","startHours":26.986221328754915,"endHours":28.37442091754792,"quality":"inauspicious"},{"name":"Udveg","start":"04:22","end":"05:46","startHours":28.37442091754792,"endHours":29.762620506340927,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:46","end":"06:46","startHours":5.7626205063409275,"endHours":6.7626205063409275,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:46","end":"07:46","startHours":6.7626205063409275,"endHours":7.7626205063409275,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:46","end":"08:46","startHours":7.7626205063409275,"endHours":8.762620506340927,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:46","end":"09:46","startHours":8.762620506340927,"endHours":9.762620506340927,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:46","end":"10:46","startHours":9.762620506340927,"endHours":10.762620506340927,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:46","end":"11:46","startHours":10.762620506340927,"endHours":11.762620506340927,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:46","end":"12:46","startHours":11.762620506340927,"endHours":12.762620506340927,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:46","end":"13:46","startHours":12.762620506340927,"endHours":13.762620506340927,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:46","end":"14:46","startHours":13.762620506340927,"endHours":14.762620506340927,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:46","end":"15:46","startHours":14.762620506340927,"endHours":15.762620506340927,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:46","end":"16:46","startHours":15.762620506340927,"endHours":16.762620506340927,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:46","end":"17:46","startHours":16.762620506340927,"endHours":17.762620506340927,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:46","end":"18:46","startHours":17.762620506340927,"endHours":18.762620506340927,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:46","end":"19:46","startHours":18.762620506340927,"endHours":19.762620506340927,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:46","end":"20:46","startHours":19.762620506340927,"endHours":20.762620506340927,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:46","end":"21:46","startHours":20.762620506340927,"endHours":21.762620506340927,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:46","end":"22:46","startHours":21.762620506340927,"endHours":22.762620506340927,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:46","end":"23:46","startHours":22.762620506340927,"endHours":23.762620506340927,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:46","end":"00:46","startHours":23.762620506340927,"endHours":24.762620506340927,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:46","end":"01:46","startHours":24.762620506340927,"endHours":25.762620506340927,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:46","end":"02:46","startHours":25.762620506340927,"endHours":26.762620506340927,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:46","end":"03:46","startHours":26.762620506340927,"endHours":27.762620506340927,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:46","end":"04:46","startHours":27.762620506340927,"endHours":28.762620506340927,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:46","end":"05:46","startHours":28.762620506340927,"endHours":29.762620506340927,"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Padma","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":9.82650818476447,"eotMinutes":4.753870929866006,"ayanamsa":-48.4007}},"calendars":{"vikram_samvat":-3116,"saka_samvat":-3251,"saka_samvatsara":"Prabhava","bengali_samvat":-3766,"malayalam_era":-3997,"nanakshahi_year":-4642,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa 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 Kṛṣṇa Pratipada · Vikram -3116 undefined · Śaka -3251 Prabhava"},"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":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 13, 3174 BCE · Haridwār · Vidhyamitra","description":"September 13, 3174 BCE for Haridwār: Kṛṣṇa Pratipada, sūryodaya 05:46, sūryāsta 18:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/haridwar/-3173-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/haridwar/-3173-09-13","sa":"https://sa.vidhyamitra.com/city/haridwar/-3173-09-13","hi":"https://hi.vidhyamitra.com/city/haridwar/-3173-09-13","x-default":"https://vidhyamitra.com/city/haridwar/-3173-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T18:59:28.829Z","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":"2026-08-10T18:59:28.829Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T18:59:28.829Z","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"}}}