{"id":"vidhyamitra:city-day:haridwar:1663-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/haridwar/1663-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1663-01-13","date_display":"January 13, 1663 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":1663,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2328470.770833,"kali_year":4764,"ahargana":1740005.2708,"sun":{"sidereal_longitude":274.5277,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":317.5347,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":43.007,"elapsed_within_tithi_degrees":7.007},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.5347,"elapsed_within_degrees":10.868},"yoga":{"number":18,"name":"Varīyān","sum_longitude":232.0624},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":1663,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2328470.770833,"ahargana":1740005.2708,"kali_year":4764,"ayanamsa_lahiri":19.1459,"grahas":{"sun":{"sidereal_longitude":273.82775100000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":316.01645099999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false,"latitude":0.6732},"mars":{"sidereal_longitude":276.183451,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":260.536151,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":232.25465099999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":271.461851,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":238.33685100000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":146.1473,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":326.1473,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":"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":1663,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2328470.770833,"kali_year":4764,"ahargana":1740005.2708,"sun":{"sidereal_longitude":274.5277,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":317.5347,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":43.007,"elapsed_within_tithi_degrees":7.007},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.5347,"elapsed_within_degrees":10.868},"yoga":{"number":18,"name":"Varīyān","sum_longitude":232.0624},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.673,"elongation":43.007},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.673,"opposition_distance":136.993}},"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":"07:14","sunsetLocal":"17:38","solarNoonLocal":"12:26","dayLengthHours":10.394067885850824,"dayLengthDisplay":"10 Hours 23 Mins 39 Secs","nightLengthDisplay":"13 Hours 36 Mins 21 Secs","moonriseLocal":"09:34","moonsetLocal":"20:55","rahuKala":{"name":"Rāhu Kāla","start":"09:50","end":"11:08","startHours":9.83446855339352,"endHours":11.133727039124874,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:44","end":"15:02","startHours":13.73224401058758,"endHours":15.031502496318932,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:14","end":"08:32","startHours":7.235951581930816,"endHours":8.535210067662168,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:00","startHours":9.66123408862934,"endHours":10.007703018157702,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.669037743841266,"endHours":7.946212887463955,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:47","startHours":12.086516595327867,"endHours":12.77945445438459,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:33","startHours":5.850075863817373,"endHours":6.543013722874094,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.369779258109913,"endHours":7.235951581930816,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"14:51","startHours":14.165330172498031,"endHours":14.858268031554752,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:26","end":"17:50","startHours":17.43001946778164,"endHours":17.83001946778164,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:38","end":"18:04","startHours":17.63001946778164,"endHours":18.063105629692092,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:23","end":"19:08","startHours":17.38001946778164,"endHours":19.13001946778164,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:47","startHours":24.08651659532787,"endHours":24.779454454384588,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:14","end":"08:32","startHours":7.235951581930816,"endHours":8.535210067662168,"quality":"inauspicious"},{"name":"Śubha","start":"08:32","end":"09:50","startHours":8.535210067662168,"endHours":9.83446855339352,"quality":"auspicious"},{"name":"Roga","start":"09:50","end":"11:08","startHours":9.83446855339352,"endHours":11.133727039124874,"quality":"inauspicious"},{"name":"Udveg","start":"11:08","end":"12:26","startHours":11.133727039124874,"endHours":12.432985524856228,"quality":"inauspicious"},{"name":"Chala","start":"12:26","end":"13:44","startHours":12.432985524856228,"endHours":13.73224401058758,"quality":"neutral"},{"name":"Labha","start":"13:44","end":"15:02","startHours":13.73224401058758,"endHours":15.031502496318932,"quality":"auspicious"},{"name":"Amṛta","start":"15:02","end":"16:20","startHours":15.031502496318932,"endHours":16.330760982050286,"quality":"auspicious"},{"name":"Kāla","start":"16:20","end":"17:38","startHours":16.330760982050286,"endHours":17.63001946778164,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:38","end":"19:20","startHours":17.63001946778164,"endHours":19.330760982050286,"quality":"auspicious"},{"name":"Amṛta","start":"19:20","end":"21:02","startHours":19.330760982050286,"endHours":21.031502496318936,"quality":"auspicious"},{"name":"Kāla","start":"21:02","end":"22:44","startHours":21.031502496318936,"endHours":22.732244010587582,"quality":"inauspicious"},{"name":"Śubha","start":"22:44","end":"00:26","startHours":22.732244010587582,"endHours":24.432985524856228,"quality":"auspicious"},{"name":"Roga","start":"00:26","end":"02:08","startHours":24.432985524856228,"endHours":26.133727039124874,"quality":"inauspicious"},{"name":"Udveg","start":"02:08","end":"03:50","startHours":26.133727039124874,"endHours":27.83446855339352,"quality":"inauspicious"},{"name":"Chala","start":"03:50","end":"05:32","startHours":27.83446855339352,"endHours":29.53521006766217,"quality":"neutral"},{"name":"Labha","start":"05:32","end":"07:14","startHours":29.53521006766217,"endHours":31.235951581930816,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.235951581930816,"endHours":8.235951581930816,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.235951581930816,"endHours":9.235951581930816,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.235951581930816,"endHours":10.235951581930816,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.235951581930816,"endHours":11.235951581930816,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.235951581930816,"endHours":12.235951581930816,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.235951581930816,"endHours":13.235951581930816,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.235951581930816,"endHours":14.235951581930816,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.235951581930816,"endHours":15.235951581930816,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.235951581930816,"endHours":16.235951581930816,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.235951581930816,"endHours":17.235951581930816,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.235951581930816,"endHours":18.235951581930816,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.235951581930816,"endHours":19.235951581930816,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.235951581930816,"endHours":20.235951581930816,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.235951581930816,"endHours":21.235951581930816,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.235951581930816,"endHours":22.235951581930816,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.235951581930816,"endHours":23.235951581930816,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.235951581930816,"endHours":24.235951581930816,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.235951581930816,"endHours":25.235951581930816,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.235951581930816,"endHours":26.235951581930816,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.235951581930816,"endHours":27.235951581930816,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.235951581930816,"endHours":28.235951581930816,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.235951581930816,"endHours":29.235951581930816,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.235951581930816,"endHours":30.235951581930816,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.235951581930816,"endHours":31.235951581930816,"planetary_lord":"Mercury"}],"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","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.480594948230717,"eotMinutes":-8.635931491373626,"ayanamsa":19.1459}},"calendars":{"vikram_samvat":1720,"vikram_samvatsara":"Nala","saka_samvat":1585,"saka_samvatsara":"Śobhana","bengali_samvat":1070,"malayalam_era":839,"nanakshahi_year":194,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Caturthī · Vikram 1720 Nala · Śaka 1585 Śobhana"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"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 January 13, 1663 CE · Haridwār · Vidhyamitra","description":"January 13, 1663 CE for Haridwār: Śukla Caturthī, sūryodaya 07:14, sūryāsta 17:38.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/haridwar/1663-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/haridwar/1663-01-13","sa":"https://sa.vidhyamitra.com/city/haridwar/1663-01-13","hi":"https://hi.vidhyamitra.com/city/haridwar/1663-01-13","x-default":"https://vidhyamitra.com/city/haridwar/1663-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-05T11:03:31.004Z","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":"2026-06-05T11:03:31.004Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-05T11:03:31.004Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}