{"id":"vidhyamitra:city-day:mathura:-3123-09-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3123-09-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3123-09-18","date_display":"September 18, 3124 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":-3123,"month":9,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":580642.770833,"kali_year":-21,"ahargana":-7822.7292,"sun":{"sidereal_longitude":208.1117,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":250.511,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.3993,"elapsed_within_tithi_degrees":6.3993},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":250.511,"elapsed_within_degrees":10.511},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":98.6228},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":-3123,"month":9,"day":18,"hour":6,"minute":30,"calendar":"julian"},"julian_day":580642.770833,"ahargana":-7822.7292,"kali_year":-21,"ayanamsa_lahiri":-47.702,"grahas":{"sun":{"sidereal_longitude":208.1117,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":250.511,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false,"latitude":1.2411},"mars":{"sidereal_longitude":209.1811,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":212.6747,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":84.3717,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"venus":{"sidereal_longitude":161.7824,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":110.7616,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":234.4858,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":54.4858,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"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":-3123,"month":9,"day":18,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":580642.770833,"kali_year":-21,"ahargana":-7822.7292,"sun":{"sidereal_longitude":208.1117,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":250.511,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.3993,"elapsed_within_tithi_degrees":6.3993},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":250.511,"elapsed_within_degrees":10.511},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":98.6228},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.241,"elongation":42.399},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.241,"opposition_distance":137.601}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:53","sunsetLocal":"18:33","solarNoonLocal":"12:13","dayLengthHours":12.662102302204836,"dayLengthDisplay":"12 Hours 39 Mins 44 Secs","nightLengthDisplay":"11 Hours 20 Mins 16 Secs","moonriseLocal":"09:18","moonsetLocal":"20:46","rahuKala":{"name":"Rāhu Kāla","start":"07:28","end":"09:03","startHours":7.463297933778613,"endHours":9.046060721554218,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:38","end":"12:13","startHours":10.628823509329823,"endHours":12.211586297105427,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:48","end":"15:23","startHours":13.79434908488103,"endHours":15.377111872656636,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:15","startHours":8.835025683184139,"endHours":9.2570957599243,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:24","end":"06:45","startHours":6.40812274192821,"endHours":6.745778803320339,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:47","end":"12:38","startHours":11.789516220365266,"endHours":12.633656373845588,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:12","end":"05:02","startHours":4.192254839042364,"endHours":5.036394992522687,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:50","end":"05:53","startHours":4.8253599541526055,"endHours":5.880535146003009,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:19","end":"15:10","startHours":14.321936680806234,"endHours":15.166076834286557,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:21","end":"18:45","startHours":18.342637448207846,"endHours":18.742637448207844,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:33","end":"19:04","startHours":18.542637448207845,"endHours":19.070225044133046,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:18","end":"20:03","startHours":18.292637448207845,"endHours":20.042637448207845,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:47","end":"00:38","startHours":23.789516220365265,"endHours":24.63365637384559,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:53","end":"07:28","startHours":5.880535146003009,"endHours":7.463297933778613,"quality":"auspicious"},{"name":"Kāla","start":"07:28","end":"09:03","startHours":7.463297933778613,"endHours":9.046060721554218,"quality":"inauspicious"},{"name":"Śubha","start":"09:03","end":"10:38","startHours":9.046060721554218,"endHours":10.628823509329823,"quality":"auspicious"},{"name":"Roga","start":"10:38","end":"12:13","startHours":10.628823509329823,"endHours":12.211586297105427,"quality":"inauspicious"},{"name":"Udveg","start":"12:13","end":"13:48","startHours":12.211586297105427,"endHours":13.79434908488103,"quality":"inauspicious"},{"name":"Chala","start":"13:48","end":"15:23","startHours":13.79434908488103,"endHours":15.377111872656636,"quality":"neutral"},{"name":"Labha","start":"15:23","end":"16:58","startHours":15.377111872656636,"endHours":16.95987466043224,"quality":"auspicious"},{"name":"Amṛta","start":"16:58","end":"18:33","startHours":16.95987466043224,"endHours":18.542637448207845,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:33","end":"19:58","startHours":18.542637448207845,"endHours":19.95987466043224,"quality":"neutral"},{"name":"Labha","start":"19:58","end":"21:23","startHours":19.95987466043224,"endHours":21.377111872656634,"quality":"auspicious"},{"name":"Amṛta","start":"21:23","end":"22:48","startHours":21.377111872656634,"endHours":22.79434908488103,"quality":"auspicious"},{"name":"Kāla","start":"22:48","end":"00:13","startHours":22.79434908488103,"endHours":24.211586297105427,"quality":"inauspicious"},{"name":"Śubha","start":"00:13","end":"01:38","startHours":24.211586297105427,"endHours":25.628823509329823,"quality":"auspicious"},{"name":"Roga","start":"01:38","end":"03:03","startHours":25.628823509329823,"endHours":27.04606072155422,"quality":"inauspicious"},{"name":"Udveg","start":"03:03","end":"04:28","startHours":27.04606072155422,"endHours":28.463297933778613,"quality":"inauspicious"},{"name":"Chala","start":"04:28","end":"05:53","startHours":28.463297933778613,"endHours":29.88053514600301,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:53","end":"06:53","startHours":5.880535146003009,"endHours":6.880535146003009,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:53","end":"07:53","startHours":6.880535146003009,"endHours":7.880535146003009,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:53","end":"08:53","startHours":7.880535146003009,"endHours":8.880535146003009,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:53","end":"09:53","startHours":8.880535146003009,"endHours":9.880535146003009,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:53","end":"10:53","startHours":9.880535146003009,"endHours":10.880535146003009,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:53","end":"11:53","startHours":10.880535146003009,"endHours":11.880535146003009,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:53","end":"12:53","startHours":11.880535146003009,"endHours":12.880535146003009,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:53","end":"13:53","startHours":12.880535146003009,"endHours":13.880535146003009,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:53","end":"14:53","startHours":13.880535146003009,"endHours":14.880535146003009,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:53","end":"15:53","startHours":14.880535146003009,"endHours":15.880535146003009,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:53","end":"16:53","startHours":15.880535146003009,"endHours":16.88053514600301,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:53","end":"17:53","startHours":16.88053514600301,"endHours":17.88053514600301,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:53","end":"18:53","startHours":17.88053514600301,"endHours":18.88053514600301,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:53","end":"19:53","startHours":18.88053514600301,"endHours":19.88053514600301,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:53","end":"20:53","startHours":19.88053514600301,"endHours":20.88053514600301,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:53","end":"21:53","startHours":20.88053514600301,"endHours":21.88053514600301,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:53","end":"22:53","startHours":21.88053514600301,"endHours":22.88053514600301,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:53","end":"23:53","startHours":22.88053514600301,"endHours":23.88053514600301,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:53","end":"00:53","startHours":23.88053514600301,"endHours":24.88053514600301,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:53","end":"01:53","startHours":24.88053514600301,"endHours":25.88053514600301,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:53","end":"02:53","startHours":25.88053514600301,"endHours":26.88053514600301,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:53","end":"03:53","startHours":26.88053514600301,"endHours":27.88053514600301,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:53","end":"04:53","startHours":27.88053514600301,"endHours":28.88053514600301,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:53","end":"05:53","startHours":28.88053514600301,"endHours":29.88053514600301,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":7.663597470638317,"eotMinutes":6.610022173674397,"ayanamsa":-47.702}},"calendars":{"vikram_samvat":-3066,"saka_samvat":-3201,"bengali_samvat":-3716,"malayalam_era":-3947,"nanakshahi_year":-4592,"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 Caturthī · Vikram -3066 undefined · Śaka -3201 undefined"},"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":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Dedicated festival walk for Vināyaka Caturthī (monthly) is not live yet; Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga September 18, 3124 BCE · Mathurā · Vidhyamitra","description":"September 18, 3124 BCE for Mathurā: Śukla Caturthī, sūryodaya 05:53, sūryāsta 18:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3123-09-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3123-09-18","sa":"https://sa.vidhyamitra.com/city/mathura/-3123-09-18","hi":"https://hi.vidhyamitra.com/city/mathura/-3123-09-18","x-default":"https://vidhyamitra.com/city/mathura/-3123-09-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T01:55:23.919Z","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":"2026-08-11T01:55:23.919Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T01:55:23.919Z","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"}}}