{"id":"vidhyamitra:city-day:noida:2181-01-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/noida/2181-01-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2181-01-07","date_display":"January 7, 2181 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":2181,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517660.770833,"kali_year":5282,"ahargana":1929195.2708,"sun":{"sidereal_longitude":260.1087,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":152.3319,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":252.2232,"elapsed_within_tithi_degrees":0.2232},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":152.3319,"elapsed_within_degrees":5.6652},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":52.4406},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2181,"month":1,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2517660.770833,"ahargana":1929195.2708,"kali_year":5282,"ayanamsa_lahiri":26.3817,"grahas":{"sun":{"sidereal_longitude":260.7352020000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":150.35720200000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":-3.4264},"mars":{"sidereal_longitude":46.62630200000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":255.34820200000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":112.40300200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":251.27340200000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":78.73830199999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":201.9506,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":21.9506,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":"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":2181,"month":1,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517660.770833,"kali_year":5282,"ahargana":1929195.2708,"sun":{"sidereal_longitude":260.1087,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":152.3319,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":252.2232,"elapsed_within_tithi_degrees":0.2232},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":152.3319,"elapsed_within_degrees":5.6652},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":52.4406},"karana":{"half_tithi_index":42,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.426,"elongation":107.777},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.426,"opposition_distance":72.223}},"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":"07:14","sunsetLocal":"17:39","solarNoonLocal":"12:27","dayLengthHours":10.418260675165747,"dayLengthDisplay":"10 Hours 25 Mins 06 Secs","nightLengthDisplay":"13 Hours 34 Mins 54 Secs","moonriseLocal":"23:00","moonsetLocal":"11:11","rahuKala":{"name":"Rāhu Kāla","start":"16:21","end":"17:39","startHours":16.352315658310815,"endHours":17.654598242706534,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:27","end":"13:45","startHours":12.44546790512366,"endHours":13.747750489519378,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:03","end":"16:21","startHours":15.050033073915095,"endHours":16.352315658310815,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.667265058412793,"endHours":10.014540414251652,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:40","end":"07:57","startHours":7.6704317623393585,"endHours":7.948252047010445,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:48","startHours":12.098192549284802,"endHours":12.792743260962519,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:33","startHours":5.847236144185352,"endHours":6.541786855863069,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:14","startHours":6.36814917794364,"endHours":7.236337567540786,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:11","end":"14:53","startHours":14.181844684317952,"endHours":14.876395395995669,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:27","end":"17:51","startHours":17.454598242706535,"endHours":17.854598242706533,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:39","end":"18:05","startHours":17.654598242706534,"endHours":18.088692437505106,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:24","end":"19:09","startHours":17.404598242706534,"endHours":19.154598242706534,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:48","startHours":24.098192549284803,"endHours":24.792743260962517,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:14","end":"08:32","startHours":7.236337567540786,"endHours":8.538620151936504,"quality":"inauspicious"},{"name":"Chala","start":"08:32","end":"09:50","startHours":8.538620151936504,"endHours":9.840902736332222,"quality":"neutral"},{"name":"Labha","start":"09:50","end":"11:09","startHours":9.840902736332222,"endHours":11.143185320727941,"quality":"auspicious"},{"name":"Amṛta","start":"11:09","end":"12:27","startHours":11.143185320727941,"endHours":12.44546790512366,"quality":"auspicious"},{"name":"Kāla","start":"12:27","end":"13:45","startHours":12.44546790512366,"endHours":13.747750489519378,"quality":"inauspicious"},{"name":"Śubha","start":"13:45","end":"15:03","startHours":13.747750489519378,"endHours":15.050033073915095,"quality":"auspicious"},{"name":"Roga","start":"15:03","end":"16:21","startHours":15.050033073915095,"endHours":16.352315658310815,"quality":"inauspicious"},{"name":"Udveg","start":"16:21","end":"17:39","startHours":16.352315658310815,"endHours":17.654598242706534,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:39","end":"19:21","startHours":17.654598242706534,"endHours":19.352315658310815,"quality":"auspicious"},{"name":"Roga","start":"19:21","end":"21:03","startHours":19.352315658310815,"endHours":21.050033073915095,"quality":"inauspicious"},{"name":"Udveg","start":"21:03","end":"22:45","startHours":21.050033073915095,"endHours":22.74775048951938,"quality":"inauspicious"},{"name":"Chala","start":"22:45","end":"00:27","startHours":22.74775048951938,"endHours":24.44546790512366,"quality":"neutral"},{"name":"Labha","start":"00:27","end":"02:09","startHours":24.44546790512366,"endHours":26.14318532072794,"quality":"auspicious"},{"name":"Amṛta","start":"02:09","end":"03:50","startHours":26.14318532072794,"endHours":27.840902736332225,"quality":"auspicious"},{"name":"Kāla","start":"03:50","end":"05:32","startHours":27.840902736332225,"endHours":29.538620151936506,"quality":"inauspicious"},{"name":"Śubha","start":"05:32","end":"07:14","startHours":29.538620151936506,"endHours":31.236337567540787,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.236337567540786,"endHours":8.236337567540787,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.236337567540787,"endHours":9.236337567540787,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.236337567540787,"endHours":10.236337567540787,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.236337567540787,"endHours":11.236337567540787,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.236337567540787,"endHours":12.236337567540787,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.236337567540787,"endHours":13.236337567540787,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.236337567540787,"endHours":14.236337567540787,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.236337567540787,"endHours":15.236337567540787,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.236337567540787,"endHours":16.236337567540787,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.236337567540787,"endHours":17.236337567540787,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.236337567540787,"endHours":18.236337567540787,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.236337567540787,"endHours":19.236337567540787,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.236337567540787,"endHours":20.236337567540787,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.236337567540787,"endHours":21.236337567540787,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.236337567540787,"endHours":22.236337567540787,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.236337567540787,"endHours":23.236337567540787,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.236337567540787,"endHours":24.236337567540787,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.236337567540787,"endHours":25.236337567540787,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.236337567540787,"endHours":26.236337567540787,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.236337567540787,"endHours":27.236337567540787,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.236337567540787,"endHours":28.236337567540787,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.236337567540787,"endHours":29.236337567540787,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.236337567540787,"endHours":30.236337567540787,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.236337567540787,"endHours":31.236337567540787,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.34083048885062,"eotMinutes":-6.292074307419696,"ayanamsa":26.3817}},"calendars":{"vikram_samvat":2238,"vikram_samvatsara":"Jaya","saka_samvat":2103,"saka_samvatsara":"Vṛṣa","bengali_samvat":1588,"malayalam_era":1357,"nanakshahi_year":712,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Saptamī · Vikram 2238 Jaya · Śaka 2103 Vṛṣa"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 January 7, 2181 CE · Noida, Uttar Pradesh · Vidhyamitra","description":"January 7, 2181 CE for Noida, Uttar Pradesh: Kṛṣṇa Saptamī, sūryodaya 07:14, sūryāsta 17:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/noida/2181-01-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/noida/2181-01-07","sa":"https://sa.vidhyamitra.com/city/noida/2181-01-07","hi":"https://hi.vidhyamitra.com/city/noida/2181-01-07","x-default":"https://vidhyamitra.com/city/noida/2181-01-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T21:15:20.091Z","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":"2026-06-03T21:15:20.091Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T21:15:20.091Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}